100113057 has 16 divisors (see below), whose sum is σ = 161799360. Its totient is φ = 60674400.

The previous prime is 100113049. The next prime is 100113061. The reversal of 100113057 is 750311001.

It is a happy number.

It is not a de Polignac number, because 100113057 - 2³ = 100113049 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100113047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 168244 + ... + 168837.

It is an arithmetic number, because the mean of its divisors is an integer number (10112460).

Almost surely, 2^100113057 is an apocalyptic number.

It is an amenable number.

100113057 is a deficient number, since it is larger than the sum of its proper divisors (61686303).

100113057 is a wasteful number, since it uses less digits than its factorization.

100113057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337101 (or 337095 counting only the distinct ones).

The product of its (nonzero) digits is 105, while the sum is 18.

The square root of 100113057 is about 10005.6512531669. The cubic root of 100113057 is about 464.3337388520. Note that the first 3 decimals are identical.

Adding to 100113057 its reverse (750311001), we get a palindrome (850424058).

The spelling of 100113057 in words is "one hundred million, one hundred thirteen thousand, fifty-seven".