165100935285 has 256 divisors, whose sum is σ = 351639429120. Its totient is φ = 72446330880.

The previous prime is 165100935253. The next prime is 165100935287. The reversal of 165100935285 is 582539001561.

165100935285 is a `hidden beast` number, since 1 + 6 + 510 + 0 + 9 + 3 + 52 + 85 = 666.

It is not a de Polignac number, because 165100935285 - 2⁵ = 165100935253 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 165100935285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165100935287) 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 255 ways as a sum of consecutive naturals, for example, 267586297 + ... + 267586913.

It is an arithmetic number, because the mean of its divisors is an integer number (1373591520).

Almost surely, 2^165100935285 is an apocalyptic number.

165100935285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165100935285 is an abundant number, since it is smaller than the sum of its proper divisors (186538493835).

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

165100935285 is a wasteful number, since it uses less digits than its factorization.

165100935285 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 899 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 165100935285 in words is "one hundred sixty-five billion, one hundred million, nine hundred thirty-five thousand, two hundred eighty-five".