102530806560 has 2304 divisors, whose sum is σ = 495178790400. Its totient is φ = 19564167168.

The previous prime is 102530806531. The next prime is 102530806561. The reversal of 102530806560 is 65608035201.

102530806560 is a `hidden beast` number, since 1 + 0 + 2 + 530 + 8 + 0 + 65 + 60 = 666.

102530806560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (102530806561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1934543494 + ... + 1934543546.

It is an arithmetic number, because the mean of its divisors is an integer number (214921350).

Almost surely, 2^102530806560 is an apocalyptic number.

102530806560 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 102530806560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247589395200).

102530806560 is an abundant number, since it is smaller than the sum of its proper divisors (392647983840).

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

102530806560 is a wasteful number, since it uses less digits than its factorization.

102530806560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 102530806560 in words is "one hundred two billion, five hundred thirty million, eight hundred six thousand, five hundred sixty".