165050100 has 54 divisors (see below), whose sum is σ = 517343190. Its totient is φ = 44013120.

The previous prime is 165050069. The next prime is 165050113. The reversal of 165050100 is 1050561.

165050100 is a `hidden beast` number, since 1 + 650 + 5 + 0 + 10 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 646416 + 164403684 = 804^2 + 12822^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 90795 + ... + 92594.

Almost surely, 2^165050100 is an apocalyptic number.

165050100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

165050100 is an abundant number, since it is smaller than the sum of its proper divisors (352293090).

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

165050100 is a wasteful number, since it uses less digits than its factorization.

165050100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183409 (or 183399 counting only the distinct ones).

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

The square root of 165050100 is about 12847.1825705094. The cubic root of 165050100 is about 548.5361625162.

The spelling of 165050100 in words is "one hundred sixty-five million, fifty thousand, one hundred".