113032800 has 144 divisors (see below), whose sum is σ = 408880080. Its totient is φ = 30136320.

The previous prime is 113032793. The next prime is 113032811. The reversal of 113032800 is 8230311.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18984 + ... + 24216.

It is an arithmetic number, because the mean of its divisors is an integer number (2839445).

Almost surely, 2^113032800 is an apocalyptic number.

113032800 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 113032800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204440040).

113032800 is an abundant number, since it is smaller than the sum of its proper divisors (295847280).

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

113032800 is a wasteful number, since it uses less digits than its factorization.

113032800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5262 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 113032800 is about 10631.6884830209. The cubic root of 113032800 is about 483.5055853218.

It can be divided in two parts, 1130 and 32800, that added together give a triangular number (33930 = T₂₆₀).

The spelling of 113032800 in words is "one hundred thirteen million, thirty-two thousand, eight hundred".