102160167975 has 96 divisors (see below), whose sum is σ = 190009981440. Its totient is φ = 53809873920.

The previous prime is 102160167953. The next prime is 102160167983. The reversal of 102160167975 is 579761061201.

102160167975 is a `hidden beast` number, since 10 + 21 + 601 + 6 + 7 + 9 + 7 + 5 = 666.

It is not a de Polignac number, because 102160167975 - 2¹² = 102160163879 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 102160167975.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 25493422 + ... + 25497428.

It is an arithmetic number, because the mean of its divisors is an integer number (1979270640).

Almost surely, 2^102160167975 is an apocalyptic number.

102160167975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102160167975 is a deficient number, since it is larger than the sum of its proper divisors (87849813465).

102160167975 is a wasteful number, since it uses less digits than its factorization.

102160167975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4486 (or 4475 counting only the distinct ones).

The product of its (nonzero) digits is 158760, while the sum is 45.

The spelling of 102160167975 in words is "one hundred two billion, one hundred sixty million, one hundred sixty-seven thousand, nine hundred seventy-five".