113981600 has 144 divisors (see below), whose sum is σ = 305839800. Its totient is φ = 41431040.

The previous prime is 113981563. The next prime is 113981603. The reversal of 113981600 is 6189311.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 10837264 + 103144336 = 3292^2 + 10156^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (113981603) 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, 3930386 + ... + 3930414.

Almost surely, 2^113981600 is an apocalyptic number.

113981600 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 113981600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152919900).

113981600 is an abundant number, since it is smaller than the sum of its proper divisors (191858200).

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

113981600 is an equidigital number, since it uses as much as digits as its factorization.

113981600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 29.

The square root of 113981600 is about 10676.2165583132. The cubic root of 113981600 is about 484.8546700284.

The spelling of 113981600 in words is "one hundred thirteen million, nine hundred eighty-one thousand, six hundred".