111564032 has 36 divisors (see below), whose sum is σ = 224388276. Its totient is φ = 55357440.

The previous prime is 111563989. The next prime is 111564083. The reversal of 111564032 is 230465111.

It can be written as a sum of positive squares in 2 ways, for example, as 32993536 + 78570496 = 5744^2 + 8864^2 .

It is a junction number, because it is equal to n+sod(n) for n = 111563989 and 111564007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 33482 + ... + 36662.

Almost surely, 2^111564032 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 111564032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112194138).

111564032 is an abundant number, since it is smaller than the sum of its proper divisors (112824244).

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

111564032 is an equidigital number, since it uses as much as digits as its factorization.

111564032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3334 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 111564032 is about 10562.3876088695. The cubic root of 111564032 is about 481.4021961534.

The spelling of 111564032 in words is "one hundred eleven million, five hundred sixty-four thousand, thirty-two".