105636829 has 2 divisors, whose sum is σ = 105636830. Its totient is φ = 105636828.

The previous prime is 105636779. The next prime is 105636847. The reversal of 105636829 is 928636501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101969604 + 3667225 = 10098^2 + 1915^2 .

It is a cyclic number.

It is not a de Polignac number, because 105636829 - 2²¹ = 103539677 is a prime.

It is a super-2 number, since 2×105636829² = 22318279282350482, 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 = 105636791 and 105636800.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105636889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52818414 + 52818415.

It is an arithmetic number, because the mean of its divisors is an integer number (52818415).

Almost surely, 2^105636829 is an apocalyptic number.

It is an amenable number.

105636829 is a deficient number, since it is larger than the sum of its proper divisors (1).

105636829 is an equidigital number, since it uses as much as digits as its factorization.

105636829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 105636829 is about 10277.9778653196. The cubic root of 105636829 is about 472.7212427496.

The spelling of 105636829 in words is "one hundred five million, six hundred thirty-six thousand, eight hundred twenty-nine".