105350899784849 has 2 divisors, whose sum is σ = 105350899784850. Its totient is φ = 105350899784848.

The previous prime is 105350899784831. The next prime is 105350899784861. The reversal of 105350899784849 is 948487998053501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87506763795025 + 17844135989824 = 9354505^2 + 4224232^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105350899784849 is a prime.

It is a super-2 number, since 2×105350899784849² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105350899784749) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52675449892424 + 52675449892425.

It is an arithmetic number, because the mean of its divisors is an integer number (52675449892425).

Almost surely, 2^{105350899784849} is an apocalyptic number.

It is an amenable number.

105350899784849 is a deficient number, since it is larger than the sum of its proper divisors (1).

105350899784849 is an equidigital number, since it uses as much as digits as its factorization.

105350899784849 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3135283200, while the sum is 80.

The spelling of 105350899784849 in words is "one hundred five trillion, three hundred fifty billion, eight hundred ninety-nine million, seven hundred eighty-four thousand, eight hundred forty-nine".