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100,000
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100000
200000
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November 2025
100000 Egyptian hieroglyph 𓆐
100,000 (one hundred thousand) is the natural number following 99,999 and preceding 100,001. In scientific notation, it is written as 105.
Terms for 100,000
In Bangladesh, India, Pakistan and South Asia, one hundred thousand is called a lakh, and is written as 1,00,000.Lakh 16 94 The Thai, Lao, Khmer and Vietnamese languages also have separate words for this number: th แสน, lo ແສນ, km សែន (all saen), and vi ức respectively. The Malagasy word is mg hetsy.26 October 2017 Malagasy Dictionary and Madagascar Encyclopedia : hetsy http://malagasyword.org/bins/teny2/hetsy 31 December 2019 malagasyword.org
In the Netherlands, a 'ton' is a colloquialism for a denomination of 100.000 monetary units. In the guilders period a ton would denote 100.000 guilders. With the introduction of the euro, a ton would come to mean 100.000 euros. Usage is mostly limited to the financial sphere and to the buying and selling of houses. It is not used in official settings because of the ambiguity with the commonly used metric tonne. While usage is common in the Netherlands, it sees almost no use in Belgium.July 2024
In Cyrillic numerals, it is known as the legion (Cyrl легион): 30px or 25px.
Values of 100,000
In astronomy, 100,000 metres, 100 kilometres, or 100 km (62 miles) is the altitude at which the Fédération Aéronautique Internationale (FAI) defines spaceflight to begin.
In paleoclimatology, the 100,000-year problem is a mismatch between the temperature record and the modeled incoming solar radiation.
In the Irish language, ga céad míle fáilte céad míle fáilte (ga ˌceːd̪ˠ ˈmʲiːlʲə ˈfˠaːl̠ʲtʲə pron) is a popular greeting meaning "a hundred thousand welcomes".
Selected 6-digit numbers (100,001–999,999)
100,001 to 199,999
100,001 = second smallest 6-digit number
100,003 = smallest 6-digit prime numberA003617 Smallest n-digit prime
100,128 = smallest triangular number with 6 digits and the 447th triangular number
100,151 = twin prime with 100,153
100,153 = twin prime with 100,151
100,255 = Friedman numberProblem of the Month (August 2000) https://erich-friedman.github.io/mathmagic/0800.html live https://web.archive.org/web/20121218102647/http://www2.stetson.edu/~efriedma/mathmagic/0800.html 18 December 2012 2026-03-09 links to a list of all 6-digit Friedman numbers, which gives 100255 = 20051*5
100,489 = 3172, the smallest 6-digit square
101,101 = smallest palindromic Carmichael number
101,723 = smallest prime number whose square is a pandigital number containing each digit from 0 to 9
102,564 = The smallest parasitic number
103,049 = Schröder–Hipparchus numberA001003 Schroeder's second problem (generalized parentheses); also called super-Catalan numbers or little Schroeder numbers.
103,680 = highly totient numberA097942 Highly totient numbers
103,769 = the number of combinatorial types of 5-dimensional parallelohedra
103,823 = 473, the smallest 6-digit cube and nice Friedman number (−1 + 0 + 3×8×2)3
104,480 = number of non-isomorphic set-systems of weight 14.
104,723 = the 9,999th prime number
104,729 = the 10,000th prime number
104,869 = the smallest prime number containing every non-prime digit
104,976 = 184, 3-smooth number
105,071 = number of triangle-free graphs on 11 verticesA006785 Number of triangle-free graphs on n vertices
105,558 = number of partitions of 46A000041 a(n) is the number of partitions of n (the partition numbers)
105,664 = harmonic divisor numberA001599 Harmonic or Ore numbers
108,968 = number of signed trees with 11 nodesA000060 Number of signed trees with n nodes
109,376 = automorphic numberA003226 Automorphic numbers: m^2 ends with m
110,880 = 30th highly composite numberA002182 Highly composite numbers
111,111 = repunit
111,777 = smallest natural number requiring 17 syllables in American English, 19 in British English
113,634 = Motzkin number for n = 14A001006 Motzkin numbers
114,243/80,782 ≈ √2
114,689 = prime factor of F12
115,975 = Bell numberA000110 Bell or exponential numbers
116,281 = 3412, square number, centered decagonal number, 18-gonal number
117,067 = first vampire prime
117,649 = 76
117,800 = harmonic divisor number
120,032 = number of primitive polynomials of degree 22 over GF(2)A011260 Number of primitive polynomials of degree n over GF(2)
120,284 = Keith numberA007629 Repfigit (REPetitive FIbonacci-like diGIT) numbers (or Keith numbers)
120,960 = highly totient number
121,393 = Fibonacci numberA000045 Fibonacci numbers
123,717 = smallest digitally balanced number in base 7A049363 a(1) = 1; for n > 1, smallest digitally balanced number in base n
123,867 = number of trees with 18 unlabeled nodesA000055 Number of trees with n unlabeled nodes
124,754 = number of partitions of 47
125,673 = logarithmic numberA002104 Logarithmic numbers
127,777 = smallest natural number requiring 18 syllables in American English, 20 in British English
127,912 = Wedderburn–Etherington numberA001190 Wedderburn-Etherington numbers
128,981 = Starts the first prime gap sequence of 2, 4, 6, 8, 10, 12, 14
129,106 = Keith number
130,321 = 194
131,071 = Mersenne primeA000668 Mersenne primes (primes of the form 2^n - 1)
131,072 = 217, largest determinant of a (real) {0,1}-matrix of order 15.A003432 Hadamard maximal determinant problem 30 March 2024
131,361 = Leyland numberA076980 Leyland numbers
134,340 = Pluto's minor planet designation
135,135 = double factorial of 13
135,137 = Markov numberA002559 Markoff (or Markov) numbers
142,129 = 3772, square number, dodecagonal number
142,857 = Kaprekar number, smallest cyclic number in decimal.
144,000 = number with religious significance
147,273 = number of partitions of 48
147,640 = Keith number
148,149 = Kaprekar numberA006886 Kaprekar numbers
152,381 = unique prime in base 20
156,146 = Keith number
155,921 = smallest prime number being the only prime in an interval from 100n to 100n + 99
160,000 = 204
160,176 = number of reduced trees with 26 nodesA000014 Number of series-reduced trees with n nodes
161,051 = 115
161,280 = highly totient number
166,320 = 31st highly composite number
167,400 = harmonic divisor number
167,894 = number of ways to partition {1,2,3,4,5,6,7,8} and then partition each cell (block) into subcells.A000258 Expansion of e.g.f. exp(exp(exp(x)-1)-1)
173,525 = number of partitions of 49
173,600 = harmonic divisor number
174,680 = Keith number
174,763 = Wagstaff primeA000979 Wagstaff primes
176,906 = number of 24-bead necklaces (turning over is allowed) where complements are equivalentA000011 Number of n-bead necklaces (turning over is allowed) where complements are equivalent
177,147 = 311
177,777 = smallest natural number requiring 19 syllables in American English, 21 in British English
178,478 = Leyland number
181,440 = highly totient number
181,819 = Kaprekar number
182,362 = number of 23-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowedA000013 Definition (1): Number of n-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed
183,186 = Keith number
183,231 = number of partially ordered set with 9 unlabeled elementsA000112 Number of partially ordered sets (posets) with n unlabeled elements
187,110 = Kaprekar number
189,819 = number of letters in the longest English word, taking 3 hours to pronounceThe longest word in English? Here are the top 15 biggest ones https://www.berlitz.com/blog/longest-word-english 1 March 2024 Berlitz en
194,481 = 214
195,000 = smallest triangular number divisible by 1000A066561 a(n) is the smallest triangular number divisible by n.
195,025 = Pell number,A000129 Pell numbers Markov number
196,418 = Fibonacci number, Markov number
196,560 = the kissing number in 24 dimensions
196,883 = the dimension of the smallest nontrivial irreducible representation of the Monster group
196,884 = the coefficient of q in the Fourier series expansion of the j-invariant. The adjacency of 196883 and 196884 was important in suggesting monstrous moonshine.
200,000 to 299,999
200,000 = 2 × 105
202,717 = k such that the sum of the squares of the first k primes is divisible by k.A111441 Numbers k such that the sum of the squares of the first k primes is divisible by k
206,098 – Large Schröder number
206,265 = rounded number of arc seconds in a radian (see also parsec), since 180 × 60 × 60 = 206,264.806...
207,360 = highly totient number
208,012 = the Catalan number C12A000108 Catalan numbers
208,335 = the largest number to be both triangular and square pyramidalA000330 Square pyramidal numbers: a(n) = 0^2 + 1^2 + 2^2 + ... + n^2 = n*(n+1)*(2*n+1)/6
208,495 = Kaprekar number
212,159 = smallest unprimeable number ending in 1, 3, 7 or 9Collins Julia Numbers in Minutes Quercus 2019 978-1635061772 United Kingdom 140A143641 Odd prime-proof numbers not ending in 5
221,760 = 32nd highly composite number
222,222 = repdigit
224,737 = the 20,000th prime number
227,475 = Riordan number
234,256 = 224
237,510 = harmonic divisor number
238,591 = number of free 13-ominoes
241,920 = highly totient number
242,060 = harmonic divisor number
248,832 = 125, 100,00012, AKA a gross-great-gross (10012 great-grosses); the smallest fifth power that can be represented as the sum of only 6 fifth powers: 125 = 45 + 55 + 65 + 75 + 95 + 115
253,293 = number of prime knots with 15 crossings
255,168 = number of ways to play tic tac toeHow many Tic-Tac-Toe (Noughts and crosses) games? http://www.se16.info/hgb/tictactoe.htm#:~:text=in%20the%20result.-,How%20many%20Tic-Tac-Toe%20(noughts%20and%20crosses),255168%20possible%20games%20in%20total
262,144 = 218; exponential factorial of 4;A049384 a(0)=1, a(n+1) = (n+1)^a(n) a superperfect numberA019279 Superperfect numbers
262,468 = Leyland number
268,705 = Leyland number
271,129 – smallest known Sierpiński prime
274,177 = prime factor of the Fermat number F6
275,807/195,025 ≈ √2
276,480 = number of primitive polynomials of degree 24 over GF(2)
277,200 = 33rd highly composite number
279,841 = 234
279,936 = 67
280,859 = a prime number whose square 78881777881 is tridigital
283,086 = number of primes with distinct digits, the largest being 987,654,103A029743 Primes with distinct digits
291,400 = number of non-equivalent ways of expressing 100,000,000 as the sum of two prime numbersA065577 Number of Goldbach partitions of 10^n
293,547 = Wedderburn–Etherington number
293,999 = twin prime with 294,001, Sophie Germain prime
294,001 = smallest weakly prime number in base 10Weißstein Eric W. 25 December 2020 Weakly Prime https://mathworld.wolfram.com/WeaklyPrime.html Wolfram MathWorld, twin prime with 293,999
294,685 = Markov number
298,320 = Keith number
300,000 to 399,999
310,572 = Motzkin number
314,159 = pi-prime
316,749 = number of reduced trees with 27 nodes
317,811 = Fibonacci number
317,955 = number of trees with 19 unlabeled nodes
318,682 = Kaprekar number
325,878 = Fine numberA000957 Fine's sequence (or Fine numbers): number of relations of valence greater than or equal to 1 on an n-set; also number of ordered rooted trees with n edges having root of even degree
326,981 = alternating factorialA005165 Alternating factorials
329,967 = Kaprekar number
331,776 = 244
332,640 = 34th highly composite number; harmonic divisor number
333,333 = repdigit
333,667 = sexy prime and unique primeA040017 Unique period primes
333,673 = sexy prime with 333,679
333,679 = sexy prime with 333,673
337,500 = 22 × 33 × 55
337,594 = number of 25-bead necklaces (turning over is allowed) where complements are equivalent
349,716 = number of 24-bead binary necklaces with beads of 2 colors where the colors may be swapped but turning over is not allowed
350,377 = the 30,000th prime number
351,351 = only known odd abundant number that is not the sum of some of its proper, nontrivial (i.e. >1) divisors A122036.
351,352 = Kaprekar number
355,419 = Keith number
356,643 = Kaprekar number
356,960 = number of primitive polynomials of degree 23 over GF(2)
360,360 = harmonic divisor number; smallest number divisible by the numbers from 1 to 15 (there is no smaller number divisible by the numbers from 1 to 14 since any number divisible by 3 and 5 must be divisible by 15)
362,880 = 9!, highly totient number
369,119 = prime number which divides the sum of all primes less than or equal to itA007506 Primes p with property that p divides the sum of all primes <= p
369,293 = smallest prime with the property that inserting a digit anywhere in the number will always yield a compositeA125001 Non-insertable primes: primes with property that no matter where you insert (or prepend or append) a digit you get a composite number (except for prepending a zero).
370,261 = first prime followed by a prime gap of over 100
371,293 = 135, palindromic in base 12 (15AA5112)
389,305 = self-descriptive number in base 7
390,313 = Kaprekar number
390,625 = 58
396,733 = first prime followed by a prime gap of exactly 100. All numbers from 396,734 to 396,832 are composite.
397,585 = Leyland number
400,000 to 499,999
409,113 = sum of the first nine factorials
422,481 = smallest number whose fourth power is the sum of three smaller fourth powers
423,393 = Leyland number
426,389 = Markov number
426,569 = cyclic number in base 12
437,760 to 440,319 = 440000any of these numbers will cause the Apple II+ and Apple IIe computers to crash to a monitor prompt when entered at the BASIC prompt, due to a short-cut in the Applesoft code programming of the overflow test when evaluating 16-bit numbers.Applesoft Disassembly -- S.d912 http://www.txbobsc.com/scsc/scdocumentor/D912.html live https://web.archive.org/web/20160415032535/http://www.txbobsc.com/scsc/scdocumentor/D912.html 15 April 2016 4 April 2016 Disassembled ROM. See comments at $DA1E. Entering 440000 at the prompt has been used to hack games that are protected against entering commands at the prompt after the game is loaded.
444,444 = repdigit
456,976 = 264
461,539 = Kaprekar number
466,830 = Kaprekar number
470,832 = Pell number
479,909 = the 40,000th prime number
483,840 = highly totient number
492,638 = number of signed trees with 12 nodes
498,960 = 35th highly composite number
499,393 = Markov number
499,500 = Kaprekar number
500,000 to 599,999
500,500 = Kaprekar number, sum of first 1,000 integers
505,447 = weakly prime
509,203 = Riesel primeA101036 Riesel numbers
510,510 = the product of the first seven prime numbers, thus the seventh primorial.A002110 Primorial numbers It is also the product of four consecutive Fibonacci numbers—13, 21, 34, 55, the largest such sequence of any length to be also a primorial. And it is a double triangular number, the sum of all even numbers from 0 to 1428. Smallest primorial p such that p-1 and p+1 are both composite.
514,229 = Fibonacci prime,A005478 Prime Fibonacci numbersA178444 Markov numbers that are prime
518,859 = Schröder–Hipparchus number
524,287 = Mersenne prime
524,288 = 219
524,649 = Leyland number
525,600 = minutes in a non-leap year
527,040 = minutes in a leap year
531,441 = 312
533,169 = Leyland number
533,170 = Kaprekar number
537,824 = 145
539,400 = harmonic divisor number
548,834 = equal to the sum of the sixth powers of its digits
554,400 = 36th highly composite number
555,555 = repdigit
584,141 = weakly prime
586,081 = number of prime numbers having seven digits.A006879 Number of primes with n digits.
587,999 = safe prime.
600,000 to 699,999
604,171 = weakly prime
604,800 = number of seconds in a week
611,953 = the 50,000th prime number
614,656 = 284
625,992 = Riordan number
629,933 = number of reduced trees with 28 nodes
645,120 = double factorial of 14
646,018 = Markov number
649,532 = number of 26-bead necklaces (turning over is allowed) where complements are equivalent
664,579 = the number of primes under 10,000,000
665,280 = 37th highly composite number
665,857/470,832 ≈ √2
666,666 = repdigit
671,092 = number of 25-bead binary necklaces with beads of 2 colors, where the colors may be swapped but turning over is not allowed
676,157 = Wedderburn–Etherington number
678,570 = Bell number
688,451 = alongside 688,453, the smallest pair of twin primes followed by a gap of at least 1,000 before the next twin prime pair [689,459 and 689,461]1309.4053 Alexei Kourbatov Tables of record gaps between prime constellations 16 September 2013 math.NT
694,280 = Keith number
695,520 = harmonic divisor number
700,000 to 799,999
707,281 = 294
711,569 = the 60,000th prime number
720,720 = 10th superior highly composite number;A002201 Superior highly composite numbers 10th colossally abundant number;A004490 Colossally abundant numbers 38th highly composite number,A002182 - OEIS https://oeis.org/A002182 28 November 2024 oeis.org smallest number divisible by the numbers from 1 to 16
725,760 = highly totient number
726,180 = harmonic divisor number
729,000 = 903
739,397 = largest prime that is both right- and left-truncatable.
742,900 = Catalan number
753,480 = harmonic divisor number
759,375 = 155
762,701 – smallest known composite Riesel number
765,623 = emirp, Friedman prime 56 × 72 − 6 ÷ 3
777,743 = largest prime in English not containing the letter 'i' in its name
777,777 = repdigit, the smallest natural number requiring 20 syllables in American English, 22 in British English, the largest number in English not containing the letter 'i' in its name
783,700 = initial number of third century xx00 to xx99 (after 400 and 1,400) containing seventeen prime numbersA186509 Centuries containing 17 primesThere are no centuries containing more than seventeen primes between 200 and 122,853,771,370,899 inclusive.A186311 Least century 100k to 100k+99 with exactly n primes {783,701, 783,703, 783,707, 783,719, 783,721, 783,733, 783,737, 783,743, 783,749, 783,763, 783,767, 783,779, 783,781, 783,787, 783,791, 783,793, 783,799}
800,000 to 899,999
810,000 = 304
823,065 = number of trees with 20 unlabeled nodes
823,543 = 77
825,265 = smallest Carmichael number with 5 prime factors
832,040 = Fibonacci number
853,467 = Motzkin number
857,375 = 953
873,612 = 11 + 22 + 33 + 44 + 55 + 66 + 77
888,888 = repdigit
890,625 = automorphic number
900,000 to 999,999
999999 the string of nines in pi Six nines in pi
901,971 = number of free 14-ominoes
909,091 = unique prime in base 10
923,521 = 314
925,765 = Markov number
925,993 = Keith number
950,976 = harmonic divisor number
956,619: 956619^2=915119911161, and only the digits 1, 5, 6, and 9 are used in both this number and its square.
967,680 = highly totient number
970,299 = 993, the largest 6-digit cube
971,767 = weakly prime
998,001 = 9992, the largest 6-digit square. The reciprocal of this number, in its expanded form, lists all three-digit numbers in order except 998.23 January 2012 Dividing one by 998001 produces list of three digit numbers https://www.themarysue.com/one-divided-by-998001/
998,991 = largest triangular number with 6 digits and the 1413th triangular number
999,983 = largest 6-digit prime number and largest 6-digit palindromic primeA007500 Primes whose reversal in base 10 is also prime (called "palindromic primes" by David Wells, although that name usually refers to A002385). Also called reversible primes.
999,999 = repdigit. Rational numbers with denominators 7 and 13 have 6-digit repetends when expressed in decimal form, because 999999 is the smallest number one less than a power of 10 that is divisible by 7 and by 13.
Prime numbers
There are 9,592 primes less than 105, where 99,991 is the largest prime number smaller than 100,000.
Increments of 105 from 100,000 through a one million have the following prime counts:
8,392 primes between 100,000 and 200,000.Smallest p > 100,000 is 100,003 (9,593rd); largest p < 200,000 is 199,999 (17,984th). This is a difference of 1,200 primes from the previous range.
104,729 is the 10,000th prime, which is in this range.
199,999 is prime.
8,013 primes between 200,000 and 300,000.Smallest p > 200,000 is 200,003 (17,985th); largest p < 300,000 is 299,993 (25,997th). A difference of 379 primes from the previous range.
224,737 is the 20,000th prime.
7,863 primes between 300,000 and 400,000.Smallest p > 300,000 is 300,007 (25,998th); largest p < 400,000 is 399,989 (33,860th). A difference of 150 primes from the previous range.
350,377 is the 30,000th prime.
7,678 primes between 400,000 and 500,000.Smallest p > 400,000 is 400,009 (33,861st); largest p < 500,000 is 499,979 (41,538th). A difference of 185 primes from the previous range. Here, the difference increases by a count of 35.
479,909 is the 40,000th prime.
7,560 primes between 500,000 and 600,000.Smallest p > 500,000 is 500,009 (41,539th); largest p < 600,000 is 599,999 (49,098th). A difference of 118 primes from the previous range.
7,560 is the twentieth highly composite number.
599,999 is prime.
7,445 primes between 600,000 and 700,000.Smallest p > 600,000 is 600,011 (49,099th); largest p < 700,000 is 699,967 (56,543rd). A difference of 115 primes from the previous range.
611,953 is the 50,000th prime.
7,408 primes between 700,000 and 800,000.Smallest p > 700,000 is 700,001 (56,544th); largest p < 800,000 is 799,999 (63,951st). A difference of 37 primes from the previous range.
700,001 and 799,999 are both prime.
746,773 is the 60,000th prime.
7,323 primes between 800,000 and 900,000.Smallest p > 800,000 is 800,011 (63,952nd); largest p < 900,000 is 899,981 (71,274th). A difference of 85 primes from the previous range. Here, the difference increases by a count of 48.
882,377 is the 70,000th prime.
7,224 primes between 900,000 and 1,000,000.Smallest p > 900,000 is 900,001 (71,275th); largest p < 1,000,000 is 999,983 (78,498th). A difference of 99 primes from the previous range. The difference increases again, by a count of 14.
900,001 is prime.
In total, there are 68,906 prime numbers between 100,000 and 1,000,000.Caldwell Chris K. PrimePages The Nth Prime Page https://primes.utm.edu/nthprime/ 3 December 2022 PrimePages From the differences of the prime indexes of the smallest and largest prime numbers in ranges of increments of 105
Notes
References
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