111409056 has 216 divisors, whose sum is σ = 365994720. Its totient is φ = 32060160.

The previous prime is 111409049. The next prime is 111409061. The reversal of 111409056 is 650904111.

It is a super-2 number, since 2×111409056² = 24823955517622272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 801435 + ... + 801573.

It is an arithmetic number, because the mean of its divisors is an integer number (1694420).

Almost surely, 2^111409056 is an apocalyptic number.

111409056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111409056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182997360).

111409056 is an abundant number, since it is smaller than the sum of its proper divisors (254585664).

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

111409056 is a wasteful number, since it uses less digits than its factorization.

111409056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 111409056 is about 10555.0488392996. The cubic root of 111409056 is about 481.1791841378.

The spelling of 111409056 in words is "one hundred eleven million, four hundred nine thousand, fifty-six".