57144100 has 72 divisors (see below), whose sum is σ = 135069480. Its totient is φ = 20858880.

The previous prime is 57144049. The next prime is 57144161. The reversal of 57144100 is 144175.

It can be written as a sum of positive squares in 12 ways, for example, as 49449024 + 7695076 = 7032^2 + 2774^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146706 + ... + 147094.

It is an arithmetic number, because the mean of its divisors is an integer number (1875965).

Almost surely, 2^57144100 is an apocalyptic number.

57144100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57144100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67534740).

57144100 is an abundant number, since it is smaller than the sum of its proper divisors (77925380).

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

57144100 is a wasteful number, since it uses less digits than its factorization.

57144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 57144100 is about 7559.3716670104. The cubic root of 57144100 is about 385.1741495829.

Adding to 57144100 its reverse (144175), we get a palindrome (57288275).

The spelling of 57144100 in words is "fifty-seven million, one hundred forty-four thousand, one hundred".