100966957 has 16 divisors (see below), whose sum is σ = 125977600. Its totient is φ = 78786432.

The previous prime is 100966949. The next prime is 100966963. The reversal of 100966957 is 759669001.

It is a cyclic number.

It is not a de Polignac number, because 100966957 - 2³ = 100966949 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100966157) 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, 957 + ... + 14242.

It is an arithmetic number, because the mean of its divisors is an integer number (7873600).

Almost surely, 2^100966957 is an apocalyptic number.

It is an amenable number.

100966957 is a deficient number, since it is larger than the sum of its proper divisors (25010643).

100966957 is a wasteful number, since it uses less digits than its factorization.

100966957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15292.

The product of its (nonzero) digits is 102060, while the sum is 43.

The square root of 100966957 is about 10048.2315359470. The cubic root of 100966957 is about 465.6501592459.

The spelling of 100966957 in words is "one hundred million, nine hundred sixty-six thousand, nine hundred fifty-seven".