105904 has 10 divisors (see below), whose sum is σ = 205220. Its totient is φ = 52944.

The previous prime is 105899. The next prime is 105907. The reversal of 105904 is 409501.

105904 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×105904² = 22431314432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105907) by changing a digit.

105904 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 as a sum of consecutive naturals, namely, 3294 + ... + 3325.

It is an arithmetic number, because the mean of its divisors is an integer number (20522).

2¹⁰⁵⁹⁰⁴ is an apocalyptic number.

It is an amenable number.

105904 is a deficient number, since it is larger than the sum of its proper divisors (99316).

105904 is an equidigital number, since it uses as much as digits as its factorization.

105904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6627 (or 6621 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 105904 is about 325.4289476983. The cubic root of 105904 is about 47.3119434311.

The spelling of 105904 in words is "one hundred five thousand, nine hundred four".