165106412191875 has 320 divisors, whose sum is σ = 353367322260480. Its totient is φ = 66564326400000.

The previous prime is 165106412191873. The next prime is 165106412191907. The reversal of 165106412191875 is 578191214601561.

It is a Cunningham number, because it is equal to 12849374²-1.

It is not a de Polignac number, because 165106412191875 - 2¹ = 165106412191873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (165106412191873) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 680895655 + ... + 681138095.

It is an arithmetic number, because the mean of its divisors is an integer number (1104272882064).

Almost surely, 2^{165106412191875} is an apocalyptic number.

165106412191875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

165106412191875 is an abundant number, since it is smaller than the sum of its proper divisors (188260910068605).

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

165106412191875 is a wasteful number, since it uses less digits than its factorization.

165106412191875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242624 (or 242609 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 57.

The spelling of 165106412191875 in words is "one hundred sixty-five trillion, one hundred six billion, four hundred twelve million, one hundred ninety-one thousand, eight hundred seventy-five".