53105 has 16 divisors (see below), whose sum is σ = 73920. Its totient is φ = 36288.

The previous prime is 53101. The next prime is 53113. The reversal of 53105 is 50135.

It is a cyclic number.

It is not a de Polignac number, because 53105 - 2² = 53101 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 53105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1214 + ... + 1256.

It is an arithmetic number, because the mean of its divisors is an integer number (4620).

2⁵³¹⁰⁵ is an apocalyptic number.

It is an amenable number.

53105 is a deficient number, since it is larger than the sum of its proper divisors (20815).

53105 is a wasteful number, since it uses less digits than its factorization.

53105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80.

The product of its (nonzero) digits is 75, while the sum is 14.

The square root of 53105 is about 230.4452212566. The cubic root of 53105 is about 37.5876468398.

It can be divided in two parts, 53 and 105, that multiplied together give a triangular number (5565 = T₁₀₅).

The spelling of 53105 in words is "fifty-three thousand, one hundred five".