57150100 has 72 divisors (see below), whose sum is σ = 149226560. Its totient is φ = 18558720.

The previous prime is 57150083. The next prime is 57150103. The reversal of 57150100 is 105175.

It is a super-2 number, since 2×57150100² = 6532267860020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57150103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11152 + ... + 15448.

Almost surely, 2^57150100 is an apocalyptic number.

57150100 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 57150100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74613280).

57150100 is an abundant number, since it is smaller than the sum of its proper divisors (92076460).

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

57150100 is a wasteful number, since it uses less digits than its factorization.

57150100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4337 (or 4330 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 19.

The square root of 57150100 is about 7559.7685149745. The cubic root of 57150100 is about 385.1876299132.

Adding to 57150100 its reverse (105175), we get a palindrome (57255275).

The spelling of 57150100 in words is "fifty-seven million, one hundred fifty thousand, one hundred".