106677707804775 has 72 divisors (see below), whose sum is σ = 191497044922560. Its totient is φ = 56768118865920.

The previous prime is 106677707804771. The next prime is 106677707804783. The reversal of 106677707804775 is 577408707776601.

106677707804775 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 7 + 7 + 70 + 7 + 80 + 477 + 5 = 666.

It is not a de Polignac number, because 106677707804775 - 2² = 106677707804771 is a prime.

It is a super-2 number, since 2×106677707804775² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106677707804771) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2334434727 + ... + 2334480423.

It is an arithmetic number, because the mean of its divisors is an integer number (2659681179480).

Almost surely, 2^{106677707804775} is an apocalyptic number.

106677707804775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106677707804775 is a deficient number, since it is larger than the sum of its proper divisors (84819337117785).

106677707804775 is a wasteful number, since it uses less digits than its factorization.

106677707804775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68585 (or 68577 counting only the distinct ones).

The product of its (nonzero) digits is 677658240, while the sum is 72.

The spelling of 106677707804775 in words is "one hundred six trillion, six hundred seventy-seven billion, seven hundred seven million, eight hundred four thousand, seven hundred seventy-five".