112427600 has 30 divisors (see below), whose sum is σ = 270108270. Its totient is φ = 44970880.

The previous prime is 112427599. The next prime is 112427747. The reversal of 112427600 is 6724211.

It can be written as a sum of positive squares in 3 ways, for example, as 37847104 + 74580496 = 6152^2 + 8636^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 140135 + ... + 140934.

It is an arithmetic number, because the mean of its divisors is an integer number (9003609).

Almost surely, 2^112427600 is an apocalyptic number.

112427600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112427600 is an abundant number, since it is smaller than the sum of its proper divisors (157680670).

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

112427600 is a wasteful number, since it uses less digits than its factorization.

112427600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281087 (or 281076 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 112427600 is about 10603.1881997822. The cubic root of 112427600 is about 482.6411124036.

The spelling of 112427600 in words is "one hundred twelve million, four hundred twenty-seven thousand, six hundred".