113948100 has 144 divisors (see below), whose sum is σ = 418723200. Its totient is φ = 26040960.

The previous prime is 113948089. The next prime is 113948119. The reversal of 113948100 is 1849311.

It is a super-2 number, since 2×113948100² = 25968338987220000, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 15886 + ... + 21914.

It is an arithmetic number, because the mean of its divisors is an integer number (2907800).

Almost surely, 2^113948100 is an apocalyptic number.

113948100 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 113948100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209361600).

113948100 is an abundant number, since it is smaller than the sum of its proper divisors (304775100).

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

113948100 is a wasteful number, since it uses less digits than its factorization.

113948100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6059 (or 6046 counting only the distinct ones).

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

The square root of 113948100 is about 10674.6475351648. The cubic root of 113948100 is about 484.8071646329.

The spelling of 113948100 in words is "one hundred thirteen million, nine hundred forty-eight thousand, one hundred".