105203129 has 2 divisors, whose sum is σ = 105203130. Its totient is φ = 105203128.

The previous prime is 105203083. The next prime is 105203143. The reversal of 105203129 is 921302501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 74787904 + 30415225 = 8648^2 + 5515^2 .

It is a cyclic number.

It is not a de Polignac number, because 105203129 - 2²⁰ = 104154553 is a prime.

It is a super-2 number, since 2×105203129² = 22135396702781282, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105203029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52601564 + 52601565.

It is an arithmetic number, because the mean of its divisors is an integer number (52601565).

Almost surely, 2^105203129 is an apocalyptic number.

It is an amenable number.

105203129 is a deficient number, since it is larger than the sum of its proper divisors (1).

105203129 is an equidigital number, since it uses as much as digits as its factorization.

105203129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 105203129 is about 10256.8576571970. The cubic root of 105203129 is about 472.0734244316.

The spelling of 105203129 in words is "one hundred five million, two hundred three thousand, one hundred twenty-nine".