102344808960 has 400 divisors, whose sum is σ = 388142887176. Its totient is φ = 25685655552.

The previous prime is 102344808953. The next prime is 102344808971. The reversal of 102344808960 is 69808443201.

It is a happy number.

102344808960 is a `hidden beast` number, since 1 + 0 + 2 + 34 + 480 + 89 + 60 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 87398279424 + 14946529536 = 295632^2 + 122256^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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 39 ways as a sum of consecutive naturals, for example, 3510604 + ... + 3539636.

Almost surely, 2^102344808960 is an apocalyptic number.

102344808960 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 102344808960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194071443588).

102344808960 is an abundant number, since it is smaller than the sum of its proper divisors (285798078216).

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

102344808960 is an equidigital number, since it uses as much as digits as its factorization.

102344808960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29085 (or 29060 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 102344808960 in words is "one hundred two billion, three hundred forty-four million, eight hundred eight thousand, nine hundred sixty".