100901157 has 16 divisors (see below), whose sum is σ = 154399872. Its totient is φ = 57415680.

The previous prime is 100901131. The next prime is 100901173. The reversal of 100901157 is 751109001.

It is not a de Polignac number, because 100901157 - 2⁸ = 100900901 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100901117) 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, 4908 + ... + 15029.

It is an arithmetic number, because the mean of its divisors is an integer number (9649992).

Almost surely, 2^100901157 is an apocalyptic number.

It is an amenable number.

100901157 is a deficient number, since it is larger than the sum of its proper divisors (53498715).

100901157 is a wasteful number, since it uses less digits than its factorization.

100901157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20188.

The product of its (nonzero) digits is 315, while the sum is 24.

The square root of 100901157 is about 10044.9567943322. The cubic root of 100901157 is about 465.5489827826.

The spelling of 100901157 in words is "one hundred million, nine hundred one thousand, one hundred fifty-seven".