113080800 has 288 divisors, whose sum is σ = 431972352. Its totient is φ = 25159680.

The previous prime is 113080789. The next prime is 113080801. The reversal of 113080800 is 8080311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113080801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 890337 + ... + 890463.

It is an arithmetic number, because the mean of its divisors is an integer number (1499904).

Almost surely, 2^113080800 is an apocalyptic number.

113080800 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 113080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215986176).

113080800 is an abundant number, since it is smaller than the sum of its proper divisors (318891552).

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

113080800 is a wasteful number, since it uses less digits than its factorization.

113080800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 113080800 is about 10633.9456459021. The cubic root of 113080800 is about 483.5740167379.

The spelling of 113080800 in words is "one hundred thirteen million, eighty thousand, eight hundred".