100564957 has 4 divisors (see below), whose sum is σ = 100611036. Its totient is φ = 100518880.

The previous prime is 100564951. The next prime is 100565021. The reversal of 100564957 is 759465001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 759465001 = 31 ⋅24498871.

It can be written as a sum of positive squares in 2 ways, for example, as 81108036 + 19456921 = 9006^2 + 4411^2 .

It is a cyclic number.

It is not a de Polignac number, because 100564957 - 2³ = 100564949 is a prime.

It is a super-2 number, since 2×100564957² = 20226621152823698, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100564951) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19594 + ... + 24187.

It is an arithmetic number, because the mean of its divisors is an integer number (25152759).

Almost surely, 2^100564957 is an apocalyptic number.

It is an amenable number.

100564957 is a deficient number, since it is larger than the sum of its proper divisors (46079).

100564957 is an equidigital number, since it uses as much as digits as its factorization.

100564957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46078.

The product of its (nonzero) digits is 37800, while the sum is 37.

The square root of 100564957 is about 10028.2080652527. The cubic root of 100564957 is about 465.0313417808.

The spelling of 100564957 in words is "one hundred million, five hundred sixty-four thousand, nine hundred fifty-seven".