113124400 has 60 divisors (see below), whose sum is σ = 278144152. Its totient is φ = 44190720.

The previous prime is 113124391. The next prime is 113124421. The reversal of 113124400 is 4421311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13912 + ... + 20488.

Almost surely, 2^113124400 is an apocalyptic number.

113124400 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 113124400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139072076).

113124400 is an abundant number, since it is smaller than the sum of its proper divisors (165019752).

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

113124400 is a wasteful number, since it uses less digits than its factorization.

113124400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6638 (or 6627 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 113124400 is about 10635.9954870242. The cubic root of 113124400 is about 483.6361584925.

Adding to 113124400 its product of nonzero digits (96), we get a square (113124496 = 10636²).

Adding to 113124400 its reverse (4421311), we get a palindrome (117545711).

The spelling of 113124400 in words is "one hundred thirteen million, one hundred twenty-four thousand, four hundred".