113881600 has 240 divisors, whose sum is σ = 340978176. Its totient is φ = 36864000.

The previous prime is 113881549. The next prime is 113881609. The reversal of 113881600 is 6188311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113881609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2777580 + ... + 2777620.

Almost surely, 2^113881600 is an apocalyptic number.

113881600 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 113881600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170489088).

113881600 is an abundant number, since it is smaller than the sum of its proper divisors (227096576).

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

113881600 is an equidigital number, since it uses as much as digits as its factorization.

113881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 28.

The square root of 113881600 is about 10671.5322236312. The cubic root of 113881600 is about 484.7128352842.

It can be divided in two parts, 113881 and 600, that added together give a triangular number (114481 = T₄₇₈).

The spelling of 113881600 in words is "one hundred thirteen million, eight hundred eighty-one thousand, six hundred".