166505105 has 16 divisors (see below), whose sum is σ = 215538960. Its totient is φ = 122750208.

The previous prime is 166505099. The next prime is 166505107. The reversal of 166505105 is 501505661.

166505105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 94458961 + 72046144 = 9719^2 + 8488^2 .

It is a cyclic number.

It is not a de Polignac number, because 166505105 - 2⁶ = 166505041 is a prime.

It is a super-2 number, since 2×166505105² = 55447899982122050, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (166505107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44279 + ... + 47891.

It is an arithmetic number, because the mean of its divisors is an integer number (13471185).

Almost surely, 2^166505105 is an apocalyptic number.

It is an amenable number.

166505105 is a deficient number, since it is larger than the sum of its proper divisors (49033855).

166505105 is a wasteful number, since it uses less digits than its factorization.

166505105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4340.

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 166505105 is about 12903.6857137796. The cubic root of 166505105 is about 550.1433290366.

The spelling of 166505105 in words is "one hundred sixty-six million, five hundred five thousand, one hundred five".