100557084 has 48 divisors (see below), whose sum is σ = 239797376. Its totient is φ = 32788800.

The previous prime is 100557077. The next prime is 100557089. The reversal of 100557084 is 480755001.

It is a super-2 number, since 2×100557084² = 20223454285166112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100557089) 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, 145179 + ... + 145869.

Almost surely, 2^100557084 is an apocalyptic number.

It is an amenable number.

100557084 is an abundant number, since it is smaller than the sum of its proper divisors (139240292).

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

100557084 is a wasteful number, since it uses less digits than its factorization.

100557084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 30.

The square root of 100557084 is about 10027.8155148567. The cubic root of 100557084 is about 465.0192060514.

The spelling of 100557084 in words is "one hundred million, five hundred fifty-seven thousand, eighty-four".