106656656601 has 32 divisors (see below), whose sum is σ = 158879978496. Its totient is φ = 63098840000.

The previous prime is 106656656593. The next prime is 106656656683.

106656656601 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 106656656601 - 2³ = 106656656593 is a prime.

It is a super-2 number, since 2×106656656601² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106656656101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11290 + ... + 461996.

It is an arithmetic number, because the mean of its divisors is an integer number (4964999328).

Almost surely, 2^106656656601 is an apocalyptic number.

106656656601 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106656656601 is a deficient number, since it is larger than the sum of its proper divisors (52223321895).

106656656601 is a wasteful number, since it uses less digits than its factorization.

106656656601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450893.

The product of its (nonzero) digits is 1166400, while the sum is 48.

The spelling of 106656656601 in words is "one hundred six billion, six hundred fifty-six million, six hundred fifty-six thousand, six hundred one".