103813372736640 has 768 divisors, whose sum is σ = 423347189541120. Its totient is φ = 22945758216192.

The previous prime is 103813372736561. The next prime is 103813372736693. The reversal of 103813372736640 is 46637273318301.

103813372736640 is a `hidden beast` number, since 1 + 0 + 38 + 1 + 337 + 273 + 6 + 6 + 4 + 0 = 666.

103813372736640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 242956462 + ... + 243383378.

It is an arithmetic number, because the mean of its divisors is an integer number (551233319715).

Almost surely, 2^{103813372736640} is an apocalyptic number.

103813372736640 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 103813372736640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211673594770560).

103813372736640 is an abundant number, since it is smaller than the sum of its proper divisors (319533816804480).

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

103813372736640 is a wasteful number, since it uses less digits than its factorization.

103813372736640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427149 (or 427134 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 103813372736640 in words is "one hundred three trillion, eight hundred thirteen billion, three hundred seventy-two million, seven hundred thirty-six thousand, six hundred forty".