105505129 has 2 divisors, whose sum is σ = 105505130. Its totient is φ = 105505128.

The previous prime is 105505087. The next prime is 105505159. The reversal of 105505129 is 921505501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88266025 + 17239104 = 9395^2 + 4152^2 .

It is a cyclic number.

It is not a de Polignac number, because 105505129 - 2⁹ = 105504617 is a prime.

It is a super-2 number, since 2×105505129² = 22262664490613282, 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 = 105505097 and 105505106.

It is not a weakly prime, because it can be changed into another prime (105505159) 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, 52752564 + 52752565.

It is an arithmetic number, because the mean of its divisors is an integer number (52752565).

Almost surely, 2^105505129 is an apocalyptic number.

It is an amenable number.

105505129 is a deficient number, since it is larger than the sum of its proper divisors (1).

105505129 is an equidigital number, since it uses as much as digits as its factorization.

105505129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2250, while the sum is 28.

The square root of 105505129 is about 10271.5689648661. The cubic root of 105505129 is about 472.5247100353.

The spelling of 105505129 in words is "one hundred five million, five hundred five thousand, one hundred twenty-nine".