116 (one hundred [and] sixteen) is the natural number following 115 and preceding 117.
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.
+ 1 is a factorial prime.
[2] 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.
[3] 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.