102345055164 has 144 divisors (see below), whose sum is σ = 290347346016. Its totient is φ = 30123878400.

The previous prime is 102345055159. The next prime is 102345055177. The reversal of 102345055164 is 461550543201.

102345055164 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 45 + 0 + 551 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9034624 + ... + 9045944.

It is an arithmetic number, because the mean of its divisors is an integer number (2016301014).

Almost surely, 2^102345055164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102345055164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145173673008).

102345055164 is an abundant number, since it is smaller than the sum of its proper divisors (188002290852).

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

102345055164 is a wasteful number, since it uses less digits than its factorization.

102345055164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11996 (or 11991 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 102345055164 its reverse (461550543201), we get a palindrome (563895598365).

The spelling of 102345055164 in words is "one hundred two billion, three hundred forty-five million, fifty-five thousand, one hundred sixty-four".