111679116 has 48 divisors (see below), whose sum is σ = 270799200. Its totient is φ = 35779072.

The previous prime is 111679063. The next prime is 111679157. The reversal of 111679116 is 611976111.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93016 + ... + 94208.

It is an arithmetic number, because the mean of its divisors is an integer number (5641650).

Almost surely, 2^111679116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111679116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135399600).

111679116 is an abundant number, since it is smaller than the sum of its proper divisors (159120084).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111679116 is a wasteful number, since it uses less digits than its factorization.

111679116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1498 (or 1496 counting only the distinct ones).

The product of its digits is 2268, while the sum is 33.

The square root of 111679116 is about 10567.8340259487. The cubic root of 111679116 is about 481.5676695901.

The spelling of 111679116 in words is "one hundred eleven million, six hundred seventy-nine thousand, one hundred sixteen".