57105 has 24 divisors (see below), whose sum is σ = 104832. Its totient is φ = 29808.

The previous prime is 57097. The next prime is 57107. The reversal of 57105 is 50175.

It is a happy number.

It is not a de Polignac number, because 57105 - 2³ = 57097 is a prime.

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (57107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1192 + ... + 1238.

It is an arithmetic number, because the mean of its divisors is an integer number (4368).

2⁵⁷¹⁰⁵ is an apocalyptic number.

It is an amenable number.

57105 is a deficient number, since it is larger than the sum of its proper divisors (47727).

57105 is an equidigital number, since it uses as much as digits as its factorization.

57105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 57105 is about 238.9665248523. The cubic root of 57105 is about 38.5086279645.

The spelling of 57105 in words is "fifty-seven thousand, one hundred five".