105538129 has 2 divisors, whose sum is σ = 105538130. Its totient is φ = 105538128.

The previous prime is 105538123. The next prime is 105538133. The reversal of 105538129 is 921835501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105534529 + 3600 = 10273^2 + 60^2 .

It is a cyclic number.

It is not a de Polignac number, because 105538129 - 2⁹ = 105537617 is a prime.

It is a super-2 number, since 2×105538129² = 22276593345641282, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105538094 and 105538103.

It is not a weakly prime, because it can be changed into another prime (105538123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52769064 + 52769065.

It is an arithmetic number, because the mean of its divisors is an integer number (52769065).

Almost surely, 2^105538129 is an apocalyptic number.

It is an amenable number.

105538129 is a deficient number, since it is larger than the sum of its proper divisors (1).

105538129 is an equidigital number, since it uses as much as digits as its factorization.

105538129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10800, while the sum is 34.

The square root of 105538129 is about 10273.1752150929. The cubic root of 105538129 is about 472.5739704839.

The spelling of 105538129 in words is "one hundred five million, five hundred thirty-eight thousand, one hundred twenty-nine".