102713414180 has 48 divisors (see below), whose sum is σ = 245954484720. Its totient is φ = 35694071808.

The previous prime is 102713414149. The next prime is 102713414203. The reversal of 102713414180 is 81414317201.

It can be written as a sum of positive squares in 8 ways, for example, as 6696476224 + 96016937956 = 81832^2 + 309866^2 .

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 15 ways as a sum of consecutive naturals, for example, 11614745 + ... + 11623584.

It is an arithmetic number, because the mean of its divisors is an integer number (5124051765).

Almost surely, 2^102713414180 is an apocalyptic number.

102713414180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102713414180 is an abundant number, since it is smaller than the sum of its proper divisors (143241070540).

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

102713414180 is a wasteful number, since it uses less digits than its factorization.

102713414180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23238368 (or 23238366 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 102713414180 in words is "one hundred two billion, seven hundred thirteen million, four hundred fourteen thousand, one hundred eighty".