10500 has 48 divisors (see below), whose sum is σ = 34944. Its totient is φ = 2400.

The previous prime is 10499. The next prime is 10501. The reversal of 10500 is 501.

It is an interprime number because it is at equal distance from previous prime (10499) and next prime (10501).

It is a super-2 number, since 2×10500² = 220500000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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 15 ways as a sum of consecutive naturals, for example, 1497 + ... + 1503.

It is an arithmetic number, because the mean of its divisors is an integer number (728).

2¹⁰⁵⁰⁰ is an apocalyptic number.

10500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17472).

10500 is an abundant number, since it is smaller than the sum of its proper divisors (24444).

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

10500 is a wasteful number, since it uses less digits than its factorization.

10500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 6.

The square root of 10500 is about 102.4695076596. The cubic root of 10500 is about 21.8975956994.

Subtracting from 10500 its reverse (501), we obtain a palindrome (9999).

The spelling of 10500 in words is "ten thousand, five hundred".