103715136000 has 960 divisors, whose sum is σ = 442148129280. Its totient is φ = 22863052800.

The previous prime is 103715135977. The next prime is 103715136047. The reversal of 103715136000 is 631517301.

103715136000 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 1 + 51 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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, 116927557 + ... + 116928443.

It is an arithmetic number, because the mean of its divisors is an integer number (460570968).

Almost surely, 2^103715136000 is an apocalyptic number.

103715136000 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 103715136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221074064640).

103715136000 is an abundant number, since it is smaller than the sum of its proper divisors (338432993280).

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

103715136000 is an equidigital number, since it uses as much as digits as its factorization.

103715136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The spelling of 103715136000 in words is "one hundred three billion, seven hundred fifteen million, one hundred thirty-six thousand".