57052105 has 24 divisors (see below), whose sum is σ = 75813192. Its totient is φ = 41184000.

The previous prime is 57052103. The next prime is 57052123. The reversal of 57052105 is 50125075.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 937024 + 56115081 = 968^2 + 7491^2 .

It is not a de Polignac number, because 57052105 - 2¹ = 57052103 is a prime.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57052105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57052103) 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, 109245 + ... + 109765.

It is an arithmetic number, because the mean of its divisors is an integer number (3158883).

Almost surely, 2^57052105 is an apocalyptic number.

57052105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

57052105 is a deficient number, since it is larger than the sum of its proper divisors (18761087).

57052105 is a wasteful number, since it uses less digits than its factorization.

57052105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 718 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 25.

The square root of 57052105 is about 7553.2843849547. The cubic root of 57052105 is about 384.9673441690.

The spelling of 57052105 in words is "fifty-seven million, fifty-two thousand, one hundred five".