113286400 has 108 divisors (see below), whose sum is σ = 289953664. Its totient is φ = 43776000.

The previous prime is 113286367. The next prime is 113286457. The reversal of 113286400 is 4682311.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 198115 + ... + 198685.

Almost surely, 2^113286400 is an apocalyptic number.

113286400 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 113286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144976832).

113286400 is an abundant number, since it is smaller than the sum of its proper divisors (176667264).

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

113286400 is an equidigital number, since it uses as much as digits as its factorization.

113286400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 113286400 is about 10643.6084106848. The cubic root of 113286400 is about 483.8669123866.

The spelling of 113286400 in words is "one hundred thirteen million, two hundred eighty-six thousand, four hundred".