112056300 has 108 divisors (see below), whose sum is σ = 369776680. Its totient is φ = 28304640.

The previous prime is 112056293. The next prime is 112056331. The reversal of 112056300 is 3650211.

112056300 is a `hidden beast` number, since 11 + 20 + 5 + 630 + 0 = 666.

It is a super-2 number, since 2×112056300² = 25113228739380000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 13824 + ... + 20376.

Almost surely, 2^112056300 is an apocalyptic number.

112056300 is a gapful number since it is divisible by the number (10) 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 112056300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184888340).

112056300 is an abundant number, since it is smaller than the sum of its proper divisors (257720380).

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

112056300 is a wasteful number, since it uses less digits than its factorization.

112056300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6592 (or 6582 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 112056300 is about 10585.6648350493. The cubic root of 112056300 is about 482.1092077633.

The spelling of 112056300 in words is "one hundred twelve million, fifty-six thousand, three hundred".