106717677957 has 56 divisors (see below), whose sum is σ = 176759610240. Its totient is φ = 63858300480.

The previous prime is 106717677923. The next prime is 106717678009. The reversal of 106717677957 is 759776717601.

It is not a de Polignac number, because 106717677957 - 2²⁰ = 106716629381 is a prime.

It is a super-2 number, since 2×106717677957² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106717677894 and 106717677903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106717677557) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 549273 + ... + 717729.

Almost surely, 2^106717677957 is an apocalyptic number.

It is an amenable number.

106717677957 is a deficient number, since it is larger than the sum of its proper divisors (70041932283).

106717677957 is an equidigital number, since it uses as much as digits as its factorization.

106717677957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168565 (or 168550 counting only the distinct ones).

The product of its (nonzero) digits is 27227340, while the sum is 63.

The spelling of 106717677957 in words is "one hundred six billion, seven hundred seventeen million, six hundred seventy-seven thousand, nine hundred fifty-seven".