10056 has 16 divisors (see below), whose sum is σ = 25200. Its totient is φ = 3344.

The previous prime is 10039. The next prime is 10061. The reversal of 10056 is 65001.

10056 is nontrivially palindromic in base 7.

It is a super-2 number, since 2×10056² = 202246272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

10056 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, 186 + ... + 233.

It is an arithmetic number, because the mean of its divisors is an integer number (1575).

2¹⁰⁰⁵⁶ is an apocalyptic number.

It is an amenable number.

10056 is an abundant number, since it is smaller than the sum of its proper divisors (15144).

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 (12600).

10056 is a wasteful number, since it uses less digits than its factorization.

10056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10056 is about 100.2796090938. The cubic root of 10056 is about 21.5844881771.

10056 divided by its sum of digits (12) gives a palindrome (838).

Adding to 10056 its reverse (65001), we get a palindrome (75057).

Subtracting 10056 from its reverse (65001), we obtain a palindrome (54945).

The spelling of 10056 in words is "ten thousand, fifty-six".