13680103500 has 192 divisors, whose sum is σ = 50586332160. Its totient is φ = 3126859200.

The previous prime is 13680103441. The next prime is 13680103511. The reversal of 13680103500 is 530108631.

13680103500 is digitally balanced in base 2, 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 (27).

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 63 ways as a sum of consecutive naturals, for example, 22119 + ... + 166881.

It is an arithmetic number, because the mean of its divisors is an integer number (263470480).

Almost surely, 2^13680103500 is an apocalyptic number.

13680103500 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 13680103500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25293166080).

13680103500 is an abundant number, since it is smaller than the sum of its proper divisors (36906228660).

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

13680103500 is a wasteful number, since it uses less digits than its factorization.

13680103500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144798 (or 144780 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 13680103500 in words is "thirteen billion, six hundred eighty million, one hundred three thousand, five hundred".