102068717184 has 288 divisors, whose sum is σ = 346876189920. Its totient is φ = 28219622400.

The previous prime is 102068717167. The next prime is 102068717197. The reversal of 102068717184 is 481717860201.

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7742919 + ... + 7756089.

It is an arithmetic number, because the mean of its divisors is an integer number (1204431215).

Almost surely, 2^102068717184 is an apocalyptic number.

102068717184 is a gapful number since it is divisible by the number (14) 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 102068717184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173438094960).

102068717184 is an abundant number, since it is smaller than the sum of its proper divisors (244807472736).

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

102068717184 is a wasteful number, since it uses less digits than its factorization.

102068717184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13260 (or 13214 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 102068717184 in words is "one hundred two billion, sixty-eight million, seven hundred seventeen thousand, one hundred eighty-four".