102501413360 has 80 divisors (see below), whose sum is σ = 240251289600. Its totient is φ = 40668127488.

The previous prime is 102501413327. The next prime is 102501413383. The reversal of 102501413360 is 63314105201.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 14218877 + ... + 14226083.

It is an arithmetic number, because the mean of its divisors is an integer number (3003141120).

Almost surely, 2^102501413360 is an apocalyptic number.

102501413360 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 102501413360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120125644800).

102501413360 is an abundant number, since it is smaller than the sum of its proper divisors (137749876240).

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

102501413360 is a wasteful number, since it uses less digits than its factorization.

102501413360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8638 (or 8632 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 102501413360 its reverse (63314105201), we get a palindrome (165815518561).

The spelling of 102501413360 in words is "one hundred two billion, five hundred one million, four hundred thirteen thousand, three hundred sixty".