105605166 has 8 divisors (see below), whose sum is σ = 211210344. Its totient is φ = 35201720.

The previous prime is 105605147. The next prime is 105605191. The reversal of 105605166 is 661506501.

It is a sphenic number, since it is the product of 3 distinct primes.

105605166 is an admirable number.

It is a super-2 number, since 2×105605166² = 22304902171775112, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 8800425 + ... + 8800436.

It is an arithmetic number, because the mean of its divisors is an integer number (26401293).

Almost surely, 2^105605166 is an apocalyptic number.

105605166 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

105605166 is a wasteful number, since it uses less digits than its factorization.

105605166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17600866.

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 105605166 is about 10276.4374177046. The cubic root of 105605166 is about 472.6740077447.

The spelling of 105605166 in words is "one hundred five million, six hundred five thousand, one hundred sixty-six".