10956 has 24 divisors (see below), whose sum is σ = 28224. Its totient is φ = 3280.

The previous prime is 10949. The next prime is 10957. The reversal of 10956 is 65901.

10956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a plaindrome in base 16.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (10957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91 + ... + 173.

It is an arithmetic number, because the mean of its divisors is an integer number (1176).

2¹⁰⁹⁵⁶ 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 10956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14112).

10956 is an abundant number, since it is smaller than the sum of its proper divisors (17268).

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

10956 is a wasteful number, since it uses less digits than its factorization.

10956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 10956 is about 104.6709128650. The cubic root of 10956 is about 22.2101082123.

Subtracting 10956 from its reverse (65901), we obtain a palindrome (54945).

The spelling of 10956 in words is "ten thousand, nine hundred fifty-six".