57135104 has 104 divisors (see below), whose sum is σ = 130728360. Its totient is φ = 24772608.

The previous prime is 57135103. The next prime is 57135107. The reversal of 57135104 is 40153175.

It can be written as a sum of positive squares in 4 ways, for example, as 10240000 + 46895104 = 3200^2 + 6848^2 .

It is a tau number, because it is divible by the number of its divisors (104).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57135103) 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, 1544174 + ... + 1544210.

Almost surely, 2^57135104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57135104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65364180).

57135104 is an abundant number, since it is smaller than the sum of its proper divisors (73593256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

57135104 is a wasteful number, since it uses less digits than its factorization.

57135104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 57135104 is about 7558.7766205915. The cubic root of 57135104 is about 385.1539363063.

Adding to 57135104 its reverse (40153175), we get a palindrome (97288279).

The spelling of 57135104 in words is "fifty-seven million, one hundred thirty-five thousand, one hundred four".