105666666657 has 8 divisors (see below), whose sum is σ = 143198543040. Its totient is φ = 69289617360.

The previous prime is 105666666649. The next prime is 105666666661. The reversal of 105666666657 is 756666666501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105666666657 - 2³ = 105666666649 is a prime.

It is a super-2 number, since 2×105666666657² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105666666657.

It is not an unprimeable number, because it can be changed into a prime (105666666617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288706557 + ... + 288706922.

It is an arithmetic number, because the mean of its divisors is an integer number (17899817880).

Almost surely, 2^105666666657 is an apocalyptic number.

It is an amenable number.

105666666657 is a deficient number, since it is larger than the sum of its proper divisors (37531876383).

105666666657 is an equidigital number, since it uses as much as digits as its factorization.

105666666657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577413543.

The product of its (nonzero) digits is 48988800, while the sum is 60.

The spelling of 105666666657 in words is "one hundred five billion, six hundred sixty-six million, six hundred sixty-six thousand, six hundred fifty-seven".