102308057280 has 1008 divisors, whose sum is σ = 422106388704. Its totient is φ = 22543073280.

The previous prime is 102308057239. The next prime is 102308057281. The reversal of 102308057280 is 82750803201.

102308057280 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 0 + 8 + 0 + 572 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102308057281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 519330142 + ... + 519330338.

It is an arithmetic number, because the mean of its divisors is an integer number (418756338).

Almost surely, 2^102308057280 is an apocalyptic number.

102308057280 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 102308057280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211053194352).

102308057280 is an abundant number, since it is smaller than the sum of its proper divisors (319798331424).

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

102308057280 is a wasteful number, since it uses less digits than its factorization.

102308057280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 102308057280 in words is "one hundred two billion, three hundred eight million, fifty-seven thousand, two hundred eighty".