10504 has 16 divisors (see below), whose sum is σ = 21420. Its totient is φ = 4800.

The previous prime is 10501. The next prime is 10513. The reversal of 10504 is 40501.

10504 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 10404 + 100 = 102^2 + 10^2 .

It is a super-2 number, since 2×10504² = 220668032, which contains 22 as substring.

10504 is an undulating number in base 7.

It is not an unprimeable number, because it can be changed into a prime (10501) 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, 54 + ... + 154.

2¹⁰⁵⁰⁴ 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 10504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10710).

10504 is an abundant number, since it is smaller than the sum of its proper divisors (10916).

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

10504 is a wasteful number, since it uses less digits than its factorization.

10504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 10504 is about 102.4890238026. The cubic root of 10504 is about 21.9003759935.

The spelling of 10504 in words is "ten thousand, five hundred four".