112574600 has 48 divisors (see below), whose sum is σ = 264374820. Its totient is φ = 44576000.

The previous prime is 112574599. The next prime is 112574621. The reversal of 112574600 is 6475211.

It can be written as a sum of positive squares in 6 ways, for example, as 41036836 + 71537764 = 6406^2 + 8458^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 112574600.

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 11 ways as a sum of consecutive naturals, for example, 17414 + ... + 22986.

Almost surely, 2^112574600 is an apocalyptic number.

112574600 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 112574600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132187410).

112574600 is an abundant number, since it is smaller than the sum of its proper divisors (151800220).

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

112574600 is a wasteful number, since it uses less digits than its factorization.

112574600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5690 (or 5681 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 112574600 is about 10610.1178127295. The cubic root of 112574600 is about 482.8513731823.

The spelling of 112574600 in words is "one hundred twelve million, five hundred seventy-four thousand, six hundred".