112956500 has 96 divisors (see below), whose sum is σ = 265827744. Its totient is φ = 41779200.

The previous prime is 112956497. The next prime is 112956511. The reversal of 112956500 is 5659211.

It can be written as a sum of positive squares in 16 ways, for example, as 61748164 + 51208336 = 7858^2 + 7156^2 .

It is a super-4 number, since 4×112956500⁴ (a number of 33 digits) contains 4444 as substring.

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, 824432 + ... + 824568.

It is an arithmetic number, because the mean of its divisors is an integer number (2769039).

Almost surely, 2^112956500 is an apocalyptic number.

112956500 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 112956500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132913872).

112956500 is an abundant number, since it is smaller than the sum of its proper divisors (152871244).

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

112956500 is a wasteful number, since it uses less digits than its factorization.

112956500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 29.

The square root of 112956500 is about 10628.0995478966. The cubic root of 112956500 is about 483.3967679987.

The spelling of 112956500 in words is "one hundred twelve million, nine hundred fifty-six thousand, five hundred".