105166566 has 32 divisors (see below), whose sum is σ = 235401600. Its totient is φ = 34800840.

The previous prime is 105166531. The next prime is 105166591. The reversal of 105166566 is 665661501.

It is a super-2 number, since 2×105166566² = 22120013208464712, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105166566.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 501 + ... + 14511.

It is an arithmetic number, because the mean of its divisors is an integer number (7356300).

Almost surely, 2^105166566 is an apocalyptic number.

105166566 is an abundant number, since it is smaller than the sum of its proper divisors (130235034).

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

105166566 is a wasteful number, since it uses less digits than its factorization.

105166566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14161 (or 14155 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 105166566 is about 10255.0751338057. The cubic root of 105166566 is about 472.0187289083.

The spelling of 105166566 in words is "one hundred five million, one hundred sixty-six thousand, five hundred sixty-six".