113308400 has 120 divisors (see below), whose sum is σ = 303752880. Its totient is φ = 40366080.

The previous prime is 113308387. The next prime is 113308421. The reversal of 113308400 is 4803311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128762 + ... + 129638.

It is an arithmetic number, because the mean of its divisors is an integer number (2531274).

Almost surely, 2^113308400 is an apocalyptic number.

113308400 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 113308400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151876440).

113308400 is an abundant number, since it is smaller than the sum of its proper divisors (190444480).

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

113308400 is a wasteful number, since it uses less digits than its factorization.

113308400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 931 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 113308400 is about 10644.6418446090. The cubic root of 113308400 is about 483.8982323657.

The spelling of 113308400 in words is "one hundred thirteen million, three hundred eight thousand, four hundred".