113062400 has 180 divisors, whose sum is σ = 312119346. Its totient is φ = 40550400.

The previous prime is 113062399. The next prime is 113062429. The reversal of 113062400 is 4260311.

It can be written as a sum of positive squares in 3 ways, for example, as 87011584 + 26050816 = 9328^2 + 5104^2 .

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 17 ways as a sum of consecutive naturals, for example, 1548764 + ... + 1548836.

Almost surely, 2^113062400 is an apocalyptic number.

113062400 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 113062400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156059673).

113062400 is an abundant number, since it is smaller than the sum of its proper divisors (199056946).

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

113062400 is an equidigital number, since it uses as much as digits as its factorization.

113062400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 113062400 is about 10633.0804567632. The cubic root of 113062400 is about 483.5477869843.

The spelling of 113062400 in words is "one hundred thirteen million, sixty-two thousand, four hundred".