101904 has 40 divisors (see below), whose sum is σ = 288672. Its totient is φ = 30720.

The previous prime is 101891. The next prime is 101917. The reversal of 101904 is 409101.

It is an interprime number because it is at equal distance from previous prime (101891) and next prime (101917).

It is an unprimeable number.

101904 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 432 + ... + 624.

2¹⁰¹⁹⁰⁴ 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 101904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144336).

101904 is an abundant number, since it is smaller than the sum of its proper divisors (186768).

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

101904 is a wasteful number, since it uses less digits than its factorization.

101904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 101904 is about 319.2240592437. The cubic root of 101904 is about 46.7086243963.

The spelling of 101904 in words is "one hundred one thousand, nine hundred four".