102189096576 has 384 divisors, whose sum is σ = 374574844800. Its totient is φ = 26032472064.

The previous prime is 102189096511. The next prime is 102189096613. The reversal of 102189096576 is 675690981201.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×102189096576² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2585056 + ... + 2624288.

It is an arithmetic number, because the mean of its divisors is an integer number (975455325).

Almost surely, 2^102189096576 is an apocalyptic number.

102189096576 is a gapful number since it is divisible by the number (16) 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 102189096576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187287422400).

102189096576 is an abundant number, since it is smaller than the sum of its proper divisors (272385748224).

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

102189096576 is a wasteful number, since it uses less digits than its factorization.

102189096576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39296 (or 39281 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 102189096576 in words is "one hundred two billion, one hundred eighty-nine million, ninety-six thousand, five hundred seventy-six".