103393348735504 has 45 divisors (see below), whose sum is σ = 200685790534957. Its totient is φ = 51603634861952.

The previous prime is 103393348735487. The next prime is 103393348735517. The reversal of 103393348735504 is 405537843393301.

The square root of 103393348735504 is 10168252.

It is a perfect power (a square), and thus also a powerful number.

103393348735504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 14650919833104 + 88742428902400 = 3827652^2 + 9420320^2 .

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 26315434212 + ... + 26315438140.

Almost surely, 2^{103393348735504} is an apocalyptic number.

103393348735504 is the 10168252-nd square number.

It is an amenable number.

103393348735504 is a deficient number, since it is larger than the sum of its proper divisors (97292441799453).

103393348735504 is an frugal number, since it uses more digits than its factorization.

103393348735504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9160 (or 4578 counting only the distinct ones).

The product of its (nonzero) digits is 48988800, while the sum is 58.

The spelling of 103393348735504 in words is "one hundred three trillion, three hundred ninety-three billion, three hundred forty-eight million, seven hundred thirty-five thousand, five hundred four".