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. 116! + 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. 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. There are 116 different 6×6 Costas arrays.

One hundred sixteen is also:

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