105666521706 has 64 divisors (see below), whose sum is σ = 243295516800. Its totient is φ = 33966874368.

The previous prime is 105666521693. The next prime is 105666521713. The reversal of 105666521706 is 607125666501.

It is a super-2 number, since 2×105666521706² (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, 8236 + ... + 459783.

It is an arithmetic number, because the mean of its divisors is an integer number (3801492450).

Almost surely, 2^105666521706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105666521706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121647758400).

105666521706 is an abundant number, since it is smaller than the sum of its proper divisors (137628995094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105666521706 is a wasteful number, since it uses less digits than its factorization.

105666521706 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468180 (or 468174 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 105666521706 in words is "one hundred five billion, six hundred sixty-six million, five hundred twenty-one thousand, seven hundred six".