103296349186688 has 96 divisors (see below), whose sum is σ = 239461456141440. Its totient is φ = 44255421439488.

The previous prime is 103296349186621. The next prime is 103296349186711. The reversal of 103296349186688 is 886681943692301.

103296349186688 is digitally balanced in base 3, 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 11 ways as a sum of consecutive naturals, for example, 16551281 + ... + 21921167.

It is an arithmetic number, because the mean of its divisors is an integer number (2494390168140).

Almost surely, 2^{103296349186688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103296349186688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119730728070720).

103296349186688 is an abundant number, since it is smaller than the sum of its proper divisors (136165106954752).

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

103296349186688 is an equidigital number, since it uses as much as digits as its factorization.

103296349186688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5372982 (or 5372963 counting only the distinct ones).

The product of its (nonzero) digits is 644972544, while the sum is 74.

The spelling of 103296349186688 in words is "one hundred three trillion, two hundred ninety-six billion, three hundred forty-nine million, one hundred eighty-six thousand, six hundred eighty-eight".