105660101682 has 12 divisors (see below), whose sum is σ = 228930220350. Its totient is φ = 35220033888.

The previous prime is 105660101647. The next prime is 105660101699. The reversal of 105660101682 is 286101066501.

105660101682 is a `hidden beast` number, since 1 + 0 + 566 + 0 + 1 + 0 + 16 + 82 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104632193961 + 1027907721 = 323469^2 + 32061^2 .

It is a super-2 number, since 2×105660101682² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2935002807 + ... + 2935002842.

Almost surely, 2^105660101682 is an apocalyptic number.

105660101682 is an abundant number, since it is smaller than the sum of its proper divisors (123270118668).

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

105660101682 is a wasteful number, since it uses less digits than its factorization.

105660101682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5870005657 (or 5870005654 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 105660101682 in words is "one hundred five billion, six hundred sixty million, one hundred one thousand, six hundred eighty-two".