57705100 has 36 divisors (see below), whose sum is σ = 126413784. Its totient is φ = 22862080.

The previous prime is 57705077. The next prime is 57705101. The reversal of 57705100 is 150775.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (57705101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8004 + ... + 13396.

It is an arithmetic number, because the mean of its divisors is an integer number (3511494).

Almost surely, 2^57705100 is an apocalyptic number.

57705100 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 57705100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63206892).

57705100 is an abundant number, since it is smaller than the sum of its proper divisors (68708684).

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

57705100 is a wasteful number, since it uses less digits than its factorization.

57705100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5514 (or 5507 counting only the distinct ones).

The product of its (nonzero) digits is 1225, while the sum is 25.

The square root of 57705100 is about 7596.3872992364. The cubic root of 57705100 is about 386.4305021737.

Adding to 57705100 its reverse (150775), we get a palindrome (57855875).

The spelling of 57705100 in words is "fifty-seven million, seven hundred five thousand, one hundred".