165105660 has 24 divisors (see below), whose sum is σ = 462296016. Its totient is φ = 44028160.

The previous prime is 165105641. The next prime is 165105667. The reversal of 165105660 is 66501561.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165105667) by changing a digit.

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, 1375821 + ... + 1375940.

It is an arithmetic number, because the mean of its divisors is an integer number (19262334).

Almost surely, 2^165105660 is an apocalyptic number.

165105660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165105660 is an abundant number, since it is smaller than the sum of its proper divisors (297190356).

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

165105660 is a wasteful number, since it uses less digits than its factorization.

165105660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2751773 (or 2751771 counting only the distinct ones).

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

The square root of 165105660 is about 12849.3447303744. The cubic root of 165105660 is about 548.5977059508.

The spelling of 165105660 in words is "one hundred sixty-five million, one hundred five thousand, six hundred sixty".