112557900 has 432 divisors, whose sum is σ = 443304960. Its totient is φ = 21772800.

The previous prime is 112557839. The next prime is 112557947. The reversal of 112557900 is 9755211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3630885 + ... + 3630915.

Almost surely, 2^112557900 is an apocalyptic number.

112557900 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 112557900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221652480).

112557900 is an abundant number, since it is smaller than the sum of its proper divisors (330747060).

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

112557900 is a wasteful number, since it uses less digits than its factorization.

112557900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 30.

The square root of 112557900 is about 10609.3307988770. The cubic root of 112557900 is about 482.8274956329.

The spelling of 112557900 in words is "one hundred twelve million, five hundred fifty-seven thousand, nine hundred".