102368799360 has 384 divisors, whose sum is σ = 379439620560. Its totient is φ = 25338839040.

The previous prime is 102368799331. The next prime is 102368799383. The reversal of 102368799360 is 63997863201.

It can be written as a sum of positive squares in 8 ways, for example, as 28571817024 + 73796982336 = 169032^2 + 271656^2 .

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 102368799297 and 102368799306.

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, 7141000 + ... + 7155320.

Almost surely, 2^102368799360 is an apocalyptic number.

102368799360 is a gapful number since it is divisible by the number (10) 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 102368799360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189719810280).

102368799360 is an abundant number, since it is smaller than the sum of its proper divisors (277070821200).

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

102368799360 is a wasteful number, since it uses less digits than its factorization.

102368799360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14436 (or 14421 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 102368799360 in words is "one hundred two billion, three hundred sixty-eight million, seven hundred ninety-nine thousand, three hundred sixty".