10114928329 has 27 divisors (see below), whose sum is σ = 11447179527. Its totient is φ = 8930882400.

The previous prime is 10114928323. The next prime is 10114928333. The reversal of 10114928329 is 92382941101.

It is a happy number.

The square root of 10114928329 is 100573.

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

10114928329 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., 487393929 + 9627534400 = 22077^2 + 98120^2 .

It is not a de Polignac number, because 10114928329 - 2¹¹ = 10114926281 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10114928291 and 10114928300.

It is not an unprimeable number, because it can be changed into a prime (10114928323) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45358312 + ... + 45358534.

Almost surely, 2^10114928329 is an apocalyptic number.

10114928329 is the 100573-rd square number.

10114928329 is the 50287-th centered octagonal number.

It is an amenable number.

10114928329 is a deficient number, since it is larger than the sum of its proper divisors (1332251198).

10114928329 is an frugal number, since it uses more digits than its factorization.

10114928329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 550 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The spelling of 10114928329 in words is "ten billion, one hundred fourteen million, nine hundred twenty-eight thousand, three hundred twenty-nine".