100157680 has 40 divisors (see below), whose sum is σ = 266134752. Its totient is φ = 34339584.

The previous prime is 100157657. The next prime is 100157699. The reversal of 100157680 is 86751001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 88867 + ... + 89986.

Almost surely, 2^100157680 is an apocalyptic number.

100157680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100157680 is an abundant number, since it is smaller than the sum of its proper divisors (165977072).

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

100157680 is a wasteful number, since it uses less digits than its factorization.

100157680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178873 (or 178867 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 100157680 is about 10007.8808945750. The cubic root of 100157680 is about 464.4027171562.

The spelling of 100157680 in words is "one hundred million, one hundred fifty-seven thousand, six hundred eighty".