105804 has 18 divisors (see below), whose sum is σ = 267540. Its totient is φ = 35256.

The previous prime is 105769. The next prime is 105817. The reversal of 105804 is 408501.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105804² = 22388972832, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1434 + ... + 1505.

2¹⁰⁵⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

105804 is an abundant number, since it is smaller than the sum of its proper divisors (161736).

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

105804 is a wasteful number, since it uses less digits than its factorization.

105804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2949 (or 2944 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 105804 is about 325.2752680423. The cubic root of 105804 is about 47.2970472853.

It can be divided in two parts, 105 and 804, that added together give a palindrome (909).

The spelling of 105804 in words is "one hundred five thousand, eight hundred four".