105617515249 has 2 divisors, whose sum is σ = 105617515250. Its totient is φ = 105617515248.

The previous prime is 105617515183. The next prime is 105617515259. The reversal of 105617515249 is 942515716501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101740585024 + 3876930225 = 318968^2 + 62265^2 .

It is a cyclic number.

It is not a de Polignac number, because 105617515249 - 2¹¹ = 105617513201 is a prime.

It is a super-2 number, since 2×105617515249² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105617515199 and 105617515208.

It is not a weakly prime, because it can be changed into another prime (105617515259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52808757624 + 52808757625.

It is an arithmetic number, because the mean of its divisors is an integer number (52808757625).

Almost surely, 2^105617515249 is an apocalyptic number.

It is an amenable number.

105617515249 is a deficient number, since it is larger than the sum of its proper divisors (1).

105617515249 is an equidigital number, since it uses as much as digits as its factorization.

105617515249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378000, while the sum is 46.

The spelling of 105617515249 in words is "one hundred five billion, six hundred seventeen million, five hundred fifteen thousand, two hundred forty-nine".