105666521709 has 16 divisors (see below), whose sum is σ = 162955602432. Its totient is φ = 59653388208.

The previous prime is 105666521693. The next prime is 105666521713. The reversal of 105666521709 is 907125666501.

It is not a de Polignac number, because 105666521709 - 2⁴ = 105666521693 is a prime.

It is a super-2 number, since 2×105666521709² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105666521729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30309939 + ... + 30313424.

It is an arithmetic number, because the mean of its divisors is an integer number (10184725152).

Almost surely, 2^105666521709 is an apocalyptic number.

It is an amenable number.

105666521709 is a deficient number, since it is larger than the sum of its proper divisors (57289080723).

105666521709 is an equidigital number, since it uses as much as digits as its factorization.

105666521709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60623456.

The product of its (nonzero) digits is 680400, while the sum is 48.

The spelling of 105666521709 in words is "one hundred five billion, six hundred sixty-six million, five hundred twenty-one thousand, seven hundred nine".