103934193013728 has 576 divisors, whose sum is σ = 394074285373440. Its totient is φ = 26337453004800.

The previous prime is 103934193013711. The next prime is 103934193013757. The reversal of 103934193013728 is 827310391439301.

103934193013728 is a `hidden beast` number, since 1 + 0 + 3 + 93 + 419 + 3 + 0 + 137 + 2 + 8 = 666.

103934193013728 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 16371825 + ... + 21815247.

It is an arithmetic number, because the mean of its divisors is an integer number (684156745440).

Almost surely, 2^{103934193013728} is an apocalyptic number.

103934193013728 is a gapful number since it is divisible by the number (18) 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 103934193013728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197037142686720).

103934193013728 is an abundant number, since it is smaller than the sum of its proper divisors (290140092359712).

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

103934193013728 is a wasteful number, since it uses less digits than its factorization.

103934193013728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5443508 (or 5443487 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 103934193013728 in words is "one hundred three trillion, nine hundred thirty-four billion, one hundred ninety-three million, thirteen thousand, seven hundred twenty-eight".