105666521705 has 32 divisors (see below), whose sum is σ = 129723534720. Its totient is φ = 82602616320.

The previous prime is 105666521693. The next prime is 105666521713. The reversal of 105666521705 is 507125666501.

It is not a de Polignac number, because 105666521705 - 2⁴ = 105666521689 is a prime.

It is a super-2 number, since 2×105666521705² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60692135 + ... + 60693875.

It is an arithmetic number, because the mean of its divisors is an integer number (4053860460).

Almost surely, 2^105666521705 is an apocalyptic number.

It is an amenable number.

105666521705 is a deficient number, since it is larger than the sum of its proper divisors (24057013015).

105666521705 is a wasteful number, since it uses less digits than its factorization.

105666521705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2921.

The product of its (nonzero) digits is 378000, while the sum is 44.

The spelling of 105666521705 in words is "one hundred five billion, six hundred sixty-six million, five hundred twenty-one thousand, seven hundred five".