56106 has 16 divisors (see below), whose sum is σ = 124800. Its totient is φ = 18684.

The previous prime is 56101. The next prime is 56113. The reversal of 56106 is 60165.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (56101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 466 + ... + 573.

It is an arithmetic number, because the mean of its divisors is an integer number (7800).

2⁵⁶¹⁰⁶ is an apocalyptic number.

56106 is an abundant number, since it is smaller than the sum of its proper divisors (68694).

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 (62400).

56106 is a wasteful number, since it uses less digits than its factorization.

56106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1050 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 56106 is about 236.8670513178. The cubic root of 56106 is about 38.2827478103.

The spelling of 56106 in words is "fifty-six thousand, one hundred six".