103904 has 24 divisors (see below), whose sum is σ = 217728. Its totient is φ = 48640.

The previous prime is 103903. The next prime is 103913. The reversal of 103904 is 409301.

103904 is an esthetic number in base 6, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103903) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 449 + ... + 639.

It is an arithmetic number, because the mean of its divisors is an integer number (9072).

2¹⁰³⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864).

103904 is an abundant number, since it is smaller than the sum of its proper divisors (113824).

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

103904 is a wasteful number, since it uses less digits than its factorization.

103904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 103904 is about 322.3414338865. The cubic root of 103904 is about 47.0122195480.

The spelling of 103904 in words is "one hundred three thousand, nine hundred four".