100057600 has 60 divisors (see below), whose sum is σ = 247932234. Its totient is φ = 40017920.

The previous prime is 100057577. The next prime is 100057609. The reversal of 100057600 is 6750001.

It can be written as a sum of positive squares in 3 ways, for example, as 38340864 + 61716736 = 6192^2 + 7856^2 .

It is not an unprimeable number, because it can be changed into a prime (100057609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8892 + ... + 16708.

Almost surely, 2^100057600 is an apocalyptic number.

100057600 is a gapful number since it is divisible by the number (10) 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 100057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123966117).

100057600 is an abundant number, since it is smaller than the sum of its proper divisors (147874634).

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

100057600 is an frugal number, since it uses more digits than its factorization.

100057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7845 (or 7824 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 100057600 is about 10002.8795853994. The cubic root of 100057600 is about 464.2479847616.

The spelling of 100057600 in words is "one hundred million, fifty-seven thousand, six hundred".