15103640740100 has 288 divisors, whose sum is σ = 38941587578880. Its totient is φ = 5022740736000.

The previous prime is 15103640740033. The next prime is 15103640740159. The reversal of 15103640740100 is 104704630151.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 122105285 + ... + 122228915.

It is an arithmetic number, because the mean of its divisors is an integer number (135213845760).

Almost surely, 2^{15103640740100} is an apocalyptic number.

15103640740100 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 15103640740100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19470793789440).

15103640740100 is an abundant number, since it is smaller than the sum of its proper divisors (23837946838780).

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

15103640740100 is a wasteful number, since it uses less digits than its factorization.

15103640740100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123859 (or 123852 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The spelling of 15103640740100 in words is "fifteen trillion, one hundred three billion, six hundred forty million, seven hundred forty thousand, one hundred".