113904 has 60 divisors (see below), whose sum is σ = 367536. Its totient is φ = 32256.

The previous prime is 113903. The next prime is 113909. The reversal of 113904 is 409311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113903) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 952 + ... + 1064.

2¹¹³⁹⁰⁴ is an apocalyptic number.

113904 is a gapful number since it is divisible by the number (14) 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 113904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183768).

113904 is an abundant number, since it is smaller than the sum of its proper divisors (253632).

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

113904 is a wasteful number, since it uses less digits than its factorization.

113904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 113904 is about 337.4966666502. The cubic root of 113904 is about 48.4744613481.

113904 divided by its sum of digits (18) gives a triangular number (6328 = T₁₁₂).

The spelling of 113904 in words is "one hundred thirteen thousand, nine hundred four".