57071100 has 72 divisors (see below), whose sum is σ = 165958128. Its totient is φ = 15142400.

The previous prime is 57071099. The next prime is 57071111. The reversal of 57071100 is 117075.

It is a super-2 number, since 2×57071100² = 6514220910420000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83962 + ... + 84638.

It is an arithmetic number, because the mean of its divisors is an integer number (2304974).

Almost surely, 2^57071100 is an apocalyptic number.

57071100 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 57071100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82979064).

57071100 is an abundant number, since it is smaller than the sum of its proper divisors (108887028).

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

57071100 is a wasteful number, since it uses less digits than its factorization.

57071100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 245, while the sum is 21.

The square root of 57071100 is about 7554.5416803404. The cubic root of 57071100 is about 385.0100632665.

Adding to 57071100 its reverse (117075), we get a palindrome (57188175).

The spelling of 57071100 in words is "fifty-seven million, seventy-one thousand, one hundred".