116 (number)

One hundred sixteen other uses 116 (disambiguation) thumb | right | alt=Bus line logo in Montpellier | Bus line logo in Montpellier 116 1, 2, 4, 29, 58, 116 116 (one hundred [and] sixteen) is the natural number following 115 and preceding 117. In mathematics 116 is a noncototient, meaning that there is no solution to the equation m − φ(m) = n, where φ stands for Euler's totient function.A005278 Noncototients: n such that x-phi(x)=n has no solution. 116! + 1 is a factorial prime.A002981 Numbers n such that n! + 1 is prime. There are 116 ternary Lyndon words of length six, and 116 irreducible polynomials of degree six over a three-element field, which form the basis of a free Lie algebra of dimension 116.A027376 Number of ternary irreducible polynomials of degree n; dimensions of free Lie algebras. There are 116 different ways of partitioning the numbers from 1 through 5 into subsets in such a way that, for every k, the union of the first k subsets is a consecutive sequence of integers.A007052 Number of order-consecutive partitions of n. There are 116 different 6×6 Costas arrays.A008404 Number of Costas arrays of order n, counting rotations and flips as distinct. See also 116 (disambiguation) References 1 Category:Integers