10224129 has 16 divisors (see below), whose sum is σ = 14120064. Its totient is φ = 6576000.

The previous prime is 10224119. The next prime is 10224139. The reversal of 10224129 is 92142201.

10224129 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10224119) and next prime (10224139).

It is not a de Polignac number, because 10224129 - 2⁹ = 10223617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10224119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12012 + ... + 12834.

It is an arithmetic number, because the mean of its divisors is an integer number (882504).

Almost surely, 2^10224129 is an apocalyptic number.

It is an amenable number.

10224129 is a deficient number, since it is larger than the sum of its proper divisors (3895935).

10224129 is a wasteful number, since it uses less digits than its factorization.

10224129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968.

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 10224129 is about 3197.5191946257. The cubic root of 10224129 is about 217.0411624577.

It can be divided in two parts, 1022 and 4129, that added together give a triangular number (5151 = T₁₀₁).

The spelling of 10224129 in words is "ten million, two hundred twenty-four thousand, one hundred twenty-nine".