102816601368 has 512 divisors, whose sum is σ = 317157120000. Its totient is φ = 27459108864.

The previous prime is 102816601343. The next prime is 102816601373. The reversal of 102816601368 is 863106618201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 448980678 + ... + 448980906.

It is an arithmetic number, because the mean of its divisors is an integer number (619447500).

Almost surely, 2^102816601368 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 102816601368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158578560000).

102816601368 is an abundant number, since it is smaller than the sum of its proper divisors (214340518632).

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

102816601368 is a wasteful number, since it uses less digits than its factorization.

102816601368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The spelling of 102816601368 in words is "one hundred two billion, eight hundred sixteen million, six hundred one thousand, three hundred sixty-eight".