103789903679289 has 9 divisors (see below), whose sum is σ = 149918793905829. Its totient is φ = 69193248744060.

The previous prime is 103789903679281. The next prime is 103789903679323. The reversal of 103789903679289 is 982976309987301.

The square root of 103789903679289 is 10187733.

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

103789903679289 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 8 + 9 + 90 + 367 + 92 + 89 = 666.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 103789903679289 - 2³ = 103789903679281 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103789903679281) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28865244 + ... + 32261154.

Almost surely, 2^{103789903679289} is an apocalyptic number.

103789903679289 is the 10187733-rd square number.

103789903679289 is the 5093867-th centered octagonal number.

It is an amenable number.

103789903679289 is a deficient number, since it is larger than the sum of its proper divisors (46128890226540).

103789903679289 is an frugal number, since it uses more digits than its factorization.

103789903679289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6791828 (or 3395914 counting only the distinct ones).

The product of its (nonzero) digits is 2222131968, while the sum is 81.

The spelling of 103789903679289 in words is "one hundred three trillion, seven hundred eighty-nine billion, nine hundred three million, six hundred seventy-nine thousand, two hundred eighty-nine".