10804 has 12 divisors (see below), whose sum is σ = 19684. Its totient is φ = 5184.

The previous prime is 10799. The next prime is 10831. The reversal of 10804 is 40801.

It can be written as a sum of positive squares in 2 ways, for example, as 8100 + 2704 = 90^2 + 52^2 .

It is a super-3 number, since 3×10804³ = 3783336595392, which contains 333 as substring.

It is an Ulam number.

It is a nialpdrome in base 7.

It is a congruent number.

It is an unprimeable number.

10804 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 3 ways as a sum of consecutive naturals, for example, 112 + ... + 184.

2¹⁰⁸⁰⁴ is an apocalyptic number.

It is an amenable number.

10804 is a deficient number, since it is larger than the sum of its proper divisors (8880).

10804 is a wasteful number, since it uses less digits than its factorization.

10804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 10804 is about 103.9422916815. The cubic root of 10804 is about 22.1069175672.

The spelling of 10804 in words is "ten thousand, eight hundred four".