100157008 has 20 divisors (see below), whose sum is σ = 221776480. Its totient is φ = 42924384.

The previous prime is 100156963. The next prime is 100157011. The reversal of 100157008 is 800751001.

It is a self number, because there is not a number n which added to its sum of digits gives 100157008.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 447018 + ... + 447241.

It is an arithmetic number, because the mean of its divisors is an integer number (11088824).

Almost surely, 2^100157008 is an apocalyptic number.

It is an amenable number.

100157008 is an abundant number, since it is smaller than the sum of its proper divisors (121619472).

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

100157008 is an equidigital number, since it uses as much as digits as its factorization.

100157008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 894274 (or 894268 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 22.

The square root of 100157008 is about 10007.8473209777. The cubic root of 100157008 is about 464.4016785295.

The spelling of 100157008 in words is "one hundred million, one hundred fifty-seven thousand, eight".