56105 has 12 divisors (see below), whose sum is σ = 78660. Its totient is φ = 38304.

The previous prime is 56101. The next prime is 56113. The reversal of 56105 is 50165.

It can be written as a sum of positive squares in 2 ways, for example, as 38416 + 17689 = 196^2 + 133^2 .

It is not a de Polignac number, because 56105 - 2² = 56101 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 131 + ... + 359.

It is an arithmetic number, because the mean of its divisors is an integer number (6555).

2⁵⁶¹⁰⁵ is an apocalyptic number.

It is an amenable number.

56105 is a deficient number, since it is larger than the sum of its proper divisors (22555).

56105 is a wasteful number, since it uses less digits than its factorization.

56105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 241 counting only the distinct ones).

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

The square root of 56105 is about 236.8649404196. The cubic root of 56105 is about 38.2825203660.

Subtracting from 56105 its product of nonzero digits (150), we obtain a palindrome (55955).

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

The spelling of 56105 in words is "fifty-six thousand, one hundred five".