10429924129 has 9 divisors (see below), whose sum is σ = 10582321203. Its totient is φ = 10279695312.

The previous prime is 10429924123. The next prime is 10429924139. The reversal of 10429924129 is 92142992401.

The square root of 10429924129 is 102127.

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

It can be written as a sum of positive squares in only one way, i.e., 5920533025 + 4509391104 = 76945^2 + 67152^2 .

It is not a de Polignac number, because 10429924129 - 2²³ = 10421535521 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10429924123) 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, 7454572 + ... + 7455970.

It is an arithmetic number, because the mean of its divisors is an integer number (1175813467).

Almost surely, 2^10429924129 is an apocalyptic number.

10429924129 is the 102127-th square number.

10429924129 is the 51064-th centered octagonal number.

It is an amenable number.

10429924129 is a deficient number, since it is larger than the sum of its proper divisors (152397074).

10429924129 is an frugal number, since it uses more digits than its factorization.

10429924129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2944 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 10429924129 in words is "ten billion, four hundred twenty-nine million, nine hundred twenty-four thousand, one hundred twenty-nine".