102459880320 has 256 divisors, whose sum is σ = 392892249600. Its totient is φ = 22186745856.

The previous prime is 102459880279. The next prime is 102459880343. The reversal of 102459880320 is 23088954201.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54742 + ... + 455978.

It is an arithmetic number, because the mean of its divisors is an integer number (1534735350).

Almost surely, 2^102459880320 is an apocalyptic number.

102459880320 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 102459880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196446124800).

102459880320 is an abundant number, since it is smaller than the sum of its proper divisors (290432369280).

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

102459880320 is a wasteful number, since it uses less digits than its factorization.

102459880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401285 (or 401273 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 102459880320 in words is "one hundred two billion, four hundred fifty-nine million, eight hundred eighty thousand, three hundred twenty".