105249673759 has 2 divisors, whose sum is σ = 105249673760. Its totient is φ = 105249673758.

The previous prime is 105249673699. The next prime is 105249673801. The reversal of 105249673759 is 957376942501.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105249673759 - 2¹⁷ = 105249542687 is a prime.

It is a super-2 number, since 2×105249673759² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105249673259) 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, 52624836879 + 52624836880.

It is an arithmetic number, because the mean of its divisors is an integer number (52624836880).

Almost surely, 2^105249673759 is an apocalyptic number.

105249673759 is a deficient number, since it is larger than the sum of its proper divisors (1).

105249673759 is an equidigital number, since it uses as much as digits as its factorization.

105249673759 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14288400, while the sum is 58.

The spelling of 105249673759 in words is "one hundred five billion, two hundred forty-nine million, six hundred seventy-three thousand, seven hundred fifty-nine".