165100005 has 128 divisors (see below), whose sum is σ = 364953600. Its totient is φ = 69092352.

The previous prime is 165099983. The next prime is 165100009. The reversal of 165100005 is 500001561.

It is not a de Polignac number, because 165100005 - 2⁵ = 165099973 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165100009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 690676 + ... + 690914.

It is an arithmetic number, because the mean of its divisors is an integer number (2851200).

Almost surely, 2^165100005 is an apocalyptic number.

165100005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165100005 is an abundant number, since it is smaller than the sum of its proper divisors (199853595).

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

165100005 is a wasteful number, since it uses less digits than its factorization.

165100005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 165100005 is about 12849.1246783584. The cubic root of 165100005 is about 548.5914425769.

Adding to 165100005 its reverse (500001561), we get a palindrome (665101566).

The spelling of 165100005 in words is "one hundred sixty-five million, one hundred thousand, five".