103251799647360 has 3072 divisors, whose sum is σ = 479525845478400. Its totient is φ = 20772574986240.

The previous prime is 103251799647301. The next prime is 103251799647433. The reversal of 103251799647360 is 63746997152301.

It is a happy number.

103251799647360 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 5 + 1 + 79 + 96 + 473 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 156205445430 + ... + 156205446090.

It is an arithmetic number, because the mean of its divisors is an integer number (156095652825).

Almost surely, 2^{103251799647360} is an apocalyptic number.

103251799647360 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 103251799647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239762922739200).

103251799647360 is an abundant number, since it is smaller than the sum of its proper divisors (376274045831040).

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

103251799647360 is a wasteful number, since it uses less digits than its factorization.

103251799647360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1356 (or 1331 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 103251799647360 in words is "one hundred three trillion, two hundred fifty-one billion, seven hundred ninety-nine million, six hundred forty-seven thousand, three hundred sixty".