10856 has 16 divisors (see below), whose sum is σ = 21600. Its totient is φ = 5104.

The previous prime is 10853. The next prime is 10859. The reversal of 10856 is 65801.

It is an interprime number because it is at equal distance from previous prime (10853) and next prime (10859).

Together with 10744 it forms an amicable pair .

It is a plaindrome in base 15.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 10856.

It is not an unprimeable number, because it can be changed into a prime (10853) 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, 155 + ... + 213.

It is an arithmetic number, because the mean of its divisors is an integer number (1350).

2¹⁰⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

10856 is a deficient number, since it is larger than the sum of its proper divisors (10744).

10856 is a wasteful number, since it uses less digits than its factorization.

10856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 10856 is about 104.1921302210. The cubic root of 10856 is about 22.1423279196.

Subtracting 10856 from its reverse (65801), we obtain a palindrome (54945).

The spelling of 10856 in words is "ten thousand, eight hundred fifty-six".