66106105657 has 8 divisors (see below), whose sum is σ = 66463897032. Its totient is φ = 65749094400.

The previous prime is 66106105627. The next prime is 66106105693. The reversal of 66106105657 is 75650160166.

It can be written as a sum of positive squares in 4 ways, for example, as 28564718121 + 37541387536 = 169011^2 + 193756^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-66106105657 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66106105627) 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, 24694 + ... + 364447.

It is an arithmetic number, because the mean of its divisors is an integer number (8307987129).

Almost surely, 2^66106105657 is an apocalyptic number.

It is an amenable number.

66106105657 is a deficient number, since it is larger than the sum of its proper divisors (357791375).

66106105657 is a wasteful number, since it uses less digits than its factorization.

66106105657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390059.

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 66106105657 in words is "sixty-six billion, one hundred six million, one hundred five thousand, six hundred fifty-seven".