102807244660 has 96 divisors (see below), whose sum is σ = 237991370400. Its totient is φ = 37141659648.

The previous prime is 102807244651. The next prime is 102807244699. The reversal of 102807244660 is 66442708201.

It is a happy number.

102807244660 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 17068377316 + 85738867344 = 130646^2 + 292812^2 .

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 862366 + ... + 974314.

It is an arithmetic number, because the mean of its divisors is an integer number (2479076775).

Almost surely, 2^102807244660 is an apocalyptic number.

102807244660 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 102807244660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118995685200).

102807244660 is an abundant number, since it is smaller than the sum of its proper divisors (135184125740).

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

102807244660 is a wasteful number, since it uses less digits than its factorization.

102807244660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112085 (or 112083 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The spelling of 102807244660 in words is "one hundred two billion, eight hundred seven million, two hundred forty-four thousand, six hundred sixty".