102085231602816 has 1024 divisors, whose sum is σ = 399038492160000. Its totient is φ = 24889490472960.

The previous prime is 102085231602799. The next prime is 102085231602841. The reversal of 102085231602816 is 618206132580201.

102085231602816 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 8 + 5 + 2 + 31 + 602 + 8 + 1 + 6 = 666.

It is a super-2 number, since 2×102085231602816² (a number of 29 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 551025336 + ... + 551210568.

It is an arithmetic number, because the mean of its divisors is an integer number (389686027500).

Almost surely, 2^{102085231602816} is an apocalyptic number.

102085231602816 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 102085231602816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199519246080000).

102085231602816 is an abundant number, since it is smaller than the sum of its proper divisors (296953260557184).

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

102085231602816 is a wasteful number, since it uses less digits than its factorization.

102085231602816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185402 (or 185384 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 102085231602816 in words is "one hundred two trillion, eighty-five billion, two hundred thirty-one million, six hundred two thousand, eight hundred sixteen".