113086800 has 240 divisors, whose sum is σ = 414844480. Its totient is φ = 29237760.

The previous prime is 113086781. The next prime is 113086801. The reversal of 113086800 is 8680311.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113086801) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 399459 + ... + 399741.

Almost surely, 2^113086800 is an apocalyptic number.

113086800 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 113086800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207422240).

113086800 is an abundant number, since it is smaller than the sum of its proper divisors (301757680).

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

113086800 is a wasteful number, since it uses less digits than its factorization.

113086800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 113086800 is about 10634.2277575760. The cubic root of 113086800 is about 483.5825693032.

The spelling of 113086800 in words is "one hundred thirteen million, eighty-six thousand, eight hundred".