10346348089 has 27 divisors (see below), whose sum is σ = 13239177903. Its totient is φ = 8055986400.

The previous prime is 10346348081. The next prime is 10346348099. The reversal of 10346348089 is 98084364301.

The square root of 10346348089 is 101717.

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

10346348089 is digitally balanced in base 2, 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., 9577949689 + 768398400 = 97867^2 + 27720^2 .

It is not a de Polignac number, because 10346348089 - 2³ = 10346348081 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10346348081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7831549 + ... + 7832869.

Almost surely, 2^10346348089 is an apocalyptic number.

10346348089 is the 101717-th square number.

10346348089 is the 50859-th centered octagonal number.

It is an amenable number.

10346348089 is a deficient number, since it is larger than the sum of its proper divisors (2892829814).

10346348089 is an frugal number, since it uses more digits than its factorization.

10346348089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2678 (or 1339 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 10346348089 in words is "ten billion, three hundred forty-six million, three hundred forty-eight thousand, eighty-nine".