10231929409 has 27 divisors (see below), whose sum is σ = 11494271907. Its totient is φ = 9103770000.

The previous prime is 10231929403. The next prime is 10231929427. The reversal of 10231929409 is 90492913201.

The square root of 10231929409 is 101153.

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

10231929409 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., 1513599025 + 8718330384 = 38905^2 + 93372^2 .

It is not a de Polignac number, because 10231929409 - 2⁵ = 10231929377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10231929403) 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, 40764534 + ... + 40764784.

Almost surely, 2^10231929409 is an apocalyptic number.

10231929409 is the 101153-rd square number.

10231929409 is the 50577-th centered octagonal number.

It is an amenable number.

10231929409 is a deficient number, since it is larger than the sum of its proper divisors (1262342498).

10231929409 is an frugal number, since it uses more digits than its factorization.

10231929409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The spelling of 10231929409 in words is "ten billion, two hundred thirty-one million, nine hundred twenty-nine thousand, four hundred nine".