100157067 has 24 divisors (see below), whose sum is σ = 150586800. Its totient is φ = 66523680.

The previous prime is 100157053. The next prime is 100157077. The reversal of 100157067 is 760751001.

It is not a de Polignac number, because 100157067 - 2⁸ = 100156811 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 100157067.

It is not an unprimeable number, because it can be changed into a prime (100157077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84217 + ... + 85397.

It is an arithmetic number, because the mean of its divisors is an integer number (6274450).

Almost surely, 2^100157067 is an apocalyptic number.

100157067 is a deficient number, since it is larger than the sum of its proper divisors (50429733).

100157067 is an equidigital number, since it uses as much as digits as its factorization.

100157067 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1545 (or 1533 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 27.

The square root of 100157067 is about 10007.8502686641. The cubic root of 100157067 is about 464.4017697186.

The spelling of 100157067 in words is "one hundred million, one hundred fifty-seven thousand, sixty-seven".