102185518032 has 160 divisors (see below), whose sum is σ = 319423305600. Its totient is φ = 31088268288.

The previous prime is 102185518031. The next prime is 102185518063. The reversal of 102185518032 is 230815581201.

102185518032 is a `hidden beast` number, since 1 + 0 + 21 + 8 + 551 + 80 + 3 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102185518031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397603 + ... + 602045.

It is an arithmetic number, because the mean of its divisors is an integer number (1996395660).

Almost surely, 2^102185518032 is an apocalyptic number.

102185518032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102185518032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159711652800).

102185518032 is an abundant number, since it is smaller than the sum of its proper divisors (217237787568).

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

102185518032 is a wasteful number, since it uses less digits than its factorization.

102185518032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204562 (or 204550 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 102185518032 in words is "one hundred two billion, one hundred eighty-five million, five hundred eighteen thousand, thirty-two".