165666105 has 48 divisors (see below), whose sum is σ = 331703424. Its totient is φ = 75594240.

The previous prime is 165666089. The next prime is 165666119. The reversal of 165666105 is 501666561.

It is not a de Polignac number, because 165666105 - 2⁴ = 165666089 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 165666105.

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 47 ways as a sum of consecutive naturals, for example, 1429 + ... + 18258.

It is an arithmetic number, because the mean of its divisors is an integer number (6910488).

Almost surely, 2^165666105 is an apocalyptic number.

165666105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165666105 is an abundant number, since it is smaller than the sum of its proper divisors (166037319).

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

165666105 is a wasteful number, since it uses less digits than its factorization.

165666105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19726 (or 19723 counting only the distinct ones).

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

The square root of 165666105 is about 12871.1345653753. The cubic root of 165666105 is about 549.2177364008.

The spelling of 165666105 in words is "one hundred sixty-five million, six hundred sixty-six thousand, one hundred five".