57366100 has 72 divisors (see below), whose sum is σ = 137241216. Its totient is φ = 20812000.

The previous prime is 57366097. The next prime is 57366121. The reversal of 57366100 is 166375.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

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, 132885 + ... + 133315.

It is an arithmetic number, because the mean of its divisors is an integer number (1906128).

Almost surely, 2^57366100 is an apocalyptic number.

57366100 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 57366100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68620608).

57366100 is an abundant number, since it is smaller than the sum of its proper divisors (79875116).

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

57366100 is a wasteful number, since it uses less digits than its factorization.

57366100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 57366100 is about 7574.0411934449. The cubic root of 57366100 is about 385.6722947299.

The spelling of 57366100 in words is "fifty-seven million, three hundred sixty-six thousand, one hundred".