112385556 has 96 divisors (see below), whose sum is σ = 305827200. Its totient is φ = 36088416.

The previous prime is 112385543. The next prime is 112385573. The reversal of 112385556 is 655583211.

It is a happy number.

112385556 is a `hidden beast` number, since 1 + 1 + 23 + 85 + 556 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 112385556.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253471 + ... + 253913.

It is an arithmetic number, because the mean of its divisors is an integer number (3185700).

Almost surely, 2^112385556 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 112385556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152913600).

112385556 is an abundant number, since it is smaller than the sum of its proper divisors (193441644).

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

112385556 is an equidigital number, since it uses as much as digits as its factorization.

112385556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 477 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 112385556 is about 10601.2054031605. The cubic root of 112385556 is about 482.5809412565.

The spelling of 112385556 in words is "one hundred twelve million, three hundred eighty-five thousand, five hundred fifty-six".