10556 has 24 divisors (see below), whose sum is σ = 23520. Its totient is φ = 4032.

The previous prime is 10531. The next prime is 10559. The reversal of 10556 is 65501.

10556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10556² = 222858272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10559) by changing a digit.

10556 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 350 + ... + 378.

It is an arithmetic number, because the mean of its divisors is an integer number (980).

2¹⁰⁵⁵⁶ 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 10556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11760).

10556 is an abundant number, since it is smaller than the sum of its proper divisors (12964).

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

10556 is a wasteful number, since it uses less digits than its factorization.

10556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 10556 is about 102.7423963123. The cubic root of 10556 is about 21.9364557556.

Subtracting 10556 from its reverse (65501), we obtain a palindrome (54945).

It can be divided in two parts, 105 and 56, that added together give a palindrome (161).

The spelling of 10556 in words is "ten thousand, five hundred fifty-six".