102317280384 has 512 divisors, whose sum is σ = 335788830720. Its totient is φ = 27213824000.

The previous prime is 102317280371. The next prime is 102317280397. The reversal of 102317280384 is 483082713201.

102317280384 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (102317280371) and next prime (102317280397).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67714189 + ... + 67715699.

It is an arithmetic number, because the mean of its divisors is an integer number (655837560).

Almost surely, 2^102317280384 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 102317280384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167894415360).

102317280384 is an abundant number, since it is smaller than the sum of its proper divisors (233471550336).

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

102317280384 is a wasteful number, since it uses less digits than its factorization.

102317280384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1620 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

Adding to 102317280384 its reverse (483082713201), we get a palindrome (585399993585).

The spelling of 102317280384 in words is "one hundred two billion, three hundred seventeen million, two hundred eighty thousand, three hundred eighty-four".