102613265760 has 192 divisors, whose sum is σ = 330161916672. Its totient is φ = 26782119936.

The previous prime is 102613265753. The next prime is 102613265767. The reversal of 102613265760 is 67562316201.

It is an interprime number because it is at equal distance from previous prime (102613265753) and next prime (102613265767).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102613265767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5038959 + ... + 5059281.

It is an arithmetic number, because the mean of its divisors is an integer number (1719593316).

Almost surely, 2^102613265760 is an apocalyptic number.

102613265760 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 102613265760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165080958336).

102613265760 is an abundant number, since it is smaller than the sum of its proper divisors (227548650912).

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

102613265760 is a wasteful number, since it uses less digits than its factorization.

102613265760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20565 (or 20557 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The spelling of 102613265760 in words is "one hundred two billion, six hundred thirteen million, two hundred sixty-five thousand, seven hundred sixty".