10520 has 16 divisors (see below), whose sum is σ = 23760. Its totient is φ = 4192.

The previous prime is 10513. The next prime is 10529. The reversal of 10520 is 2501.

It is a super-2 number, since 2×10520² = 221340800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 10498 and 10507.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10520.

It is not an unprimeable number, because it can be changed into a prime (10529) by changing a digit.

10520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 92 + ... + 171.

It is an arithmetic number, because the mean of its divisors is an integer number (1485).

2¹⁰⁵²⁰ is an apocalyptic number.

10520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10520 is an abundant number, since it is smaller than the sum of its proper divisors (13240).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11880).

10520 is a wasteful number, since it uses less digits than its factorization.

10520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 8.

The square root of 10520 is about 102.5670512397. The cubic root of 10520 is about 21.9114901167.

It can be divided in two parts, 105 and 20, that added together give a cube (125 = 5³).

The spelling of 10520 in words is "ten thousand, five hundred twenty".