113891400 has 384 divisors, whose sum is σ = 471398400. Its totient is φ = 24710400.

The previous prime is 113891383. The next prime is 113891419. The reversal of 113891400 is 4198311.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 869335 + ... + 869465.

It is an arithmetic number, because the mean of its divisors is an integer number (1227600).

Almost surely, 2^113891400 is an apocalyptic number.

113891400 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 113891400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235699200).

113891400 is an abundant number, since it is smaller than the sum of its proper divisors (357507000).

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

113891400 is a wasteful number, since it uses less digits than its factorization.

113891400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 113891400 is about 10671.9913793069. The cubic root of 113891400 is about 484.7267387580.

The spelling of 113891400 in words is "one hundred thirteen million, eight hundred ninety-one thousand, four hundred".