103393850557872 has 640 divisors, whose sum is σ = 333595197112320. Its totient is φ = 26955746611200.

The previous prime is 103393850557861. The next prime is 103393850557919. The reversal of 103393850557872 is 278755058393301.

103393850557872 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2974574829 + ... + 2974609587.

It is an arithmetic number, because the mean of its divisors is an integer number (521242495488).

Almost surely, 2^{103393850557872} is an apocalyptic number.

103393850557872 is a gapful number since it is divisible by the number (12) 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 103393850557872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166797598556160).

103393850557872 is an abundant number, since it is smaller than the sum of its proper divisors (230201346554448).

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

103393850557872 is a wasteful number, since it uses less digits than its factorization.

103393850557872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35041 (or 35035 counting only the distinct ones).

The product of its (nonzero) digits is 190512000, while the sum is 66.

The spelling of 103393850557872 in words is "one hundred three trillion, three hundred ninety-three billion, eight hundred fifty million, five hundred fifty-seven thousand, eight hundred seventy-two".