100557344 has 24 divisors (see below), whose sum is σ = 199731420. Its totient is φ = 49831936.

The previous prime is 100557343. The next prime is 100557361. The reversal of 100557344 is 443755001.

It can be written as a sum of positive squares in 2 ways, for example, as 95804944 + 4752400 = 9788^2 + 2180^2 .

It is a super-2 number, since 2×100557344² = 20223558864668672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100557343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10289 + ... + 17520.

Almost surely, 2^100557344 is an apocalyptic number.

It is an amenable number.

100557344 is a deficient number, since it is larger than the sum of its proper divisors (99174076).

100557344 is a wasteful number, since it uses less digits than its factorization.

100557344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27932 (or 27924 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 100557344 is about 10027.8284787884. The cubic root of 100557344 is about 465.0196068350.

The spelling of 100557344 in words is "one hundred million, five hundred fifty-seven thousand, three hundred forty-four".