105166566166 has 16 divisors (see below), whose sum is σ = 167209097040. Its totient is φ = 49436861440.

The previous prime is 105166566157. The next prime is 105166566233. The reversal of 105166566166 is 661665661501.

It is a super-3 number, since 3×105166566166³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1633180 + ... + 1696351.

It is an arithmetic number, because the mean of its divisors is an integer number (10450568565).

Almost surely, 2^105166566166 is an apocalyptic number.

105166566166 is a deficient number, since it is larger than the sum of its proper divisors (62042530874).

105166566166 is a wasteful number, since it uses less digits than its factorization.

105166566166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330479.

The product of its (nonzero) digits is 1166400, while the sum is 49.

The spelling of 105166566166 in words is "one hundred five billion, one hundred sixty-six million, five hundred sixty-six thousand, one hundred sixty-six".