105639295249 has 2 divisors, whose sum is σ = 105639295250. Its totient is φ = 105639295248.

The previous prime is 105639295241. The next prime is 105639295253. The reversal of 105639295249 is 942592936501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105508032400 + 131262849 = 324820^2 + 11457^2 .

It is a cyclic number.

It is not a de Polignac number, because 105639295249 - 2³ = 105639295241 is a prime.

It is a super-2 number, since 2×105639295249² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105639295249.

It is not a weakly prime, because it can be changed into another prime (105639295241) 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, 52819647624 + 52819647625.

It is an arithmetic number, because the mean of its divisors is an integer number (52819647625).

Almost surely, 2^105639295249 is an apocalyptic number.

It is an amenable number.

105639295249 is a deficient number, since it is larger than the sum of its proper divisors (1).

105639295249 is an equidigital number, since it uses as much as digits as its factorization.

105639295249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5248800, while the sum is 55.

The spelling of 105639295249 in words is "one hundred five billion, six hundred thirty-nine million, two hundred ninety-five thousand, two hundred forty-nine".