105204329 has 2 divisors, whose sum is σ = 105204330. Its totient is φ = 105204328.

The previous prime is 105204301. The next prime is 105204343. The reversal of 105204329 is 923402501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93644329 + 11560000 = 9677^2 + 3400^2 .

It is a cyclic number.

It is not a de Polignac number, because 105204329 - 2²⁴ = 88427113 is a prime.

It is a super-2 number, since 2×105204329² = 22135901680680482, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105204298 and 105204307.

It is not a weakly prime, because it can be changed into another prime (105204929) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52602164 + 52602165.

It is an arithmetic number, because the mean of its divisors is an integer number (52602165).

Almost surely, 2^105204329 is an apocalyptic number.

It is an amenable number.

105204329 is a deficient number, since it is larger than the sum of its proper divisors (1).

105204329 is an equidigital number, since it uses as much as digits as its factorization.

105204329 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 105204329 is about 10256.9161544784. The cubic root of 105204329 is about 472.0752193274.

The spelling of 105204329 in words is "one hundred five million, two hundred four thousand, three hundred twenty-nine".