100961826957 has 12 divisors (see below), whose sum is σ = 146371885504. Its totient is φ = 67059514440.

The previous prime is 100961826929. The next prime is 100961826971. The reversal of 100961826957 is 759628169001.

100961826957 is a `hidden beast` number, since 10 + 0 + 9 + 618 + 2 + 6 + 9 + 5 + 7 = 666.

It is not a de Polignac number, because 100961826957 - 2⁷ = 100961826829 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100961826997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20694943 + ... + 20699820.

Almost surely, 2^100961826957 is an apocalyptic number.

It is an amenable number.

100961826957 is a deficient number, since it is larger than the sum of its proper divisors (45410058547).

100961826957 is a wasteful number, since it uses less digits than its factorization.

100961826957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41395040 (or 41395037 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 100961826957 in words is "one hundred billion, nine hundred sixty-one million, eight hundred twenty-six thousand, nine hundred fifty-seven".