105793144399 has 2 divisors, whose sum is σ = 105793144400. Its totient is φ = 105793144398.

The previous prime is 105793144333. The next prime is 105793144417. The reversal of 105793144399 is 993441397501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105793144399 - 2¹⁵ = 105793111631 is a prime.

It is a super-2 number, since 2×105793144399² (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 (105793144999) 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, 52896572199 + 52896572200.

It is an arithmetic number, because the mean of its divisors is an integer number (52896572200).

Almost surely, 2^105793144399 is an apocalyptic number.

105793144399 is a deficient number, since it is larger than the sum of its proper divisors (1).

105793144399 is an equidigital number, since it uses as much as digits as its factorization.

105793144399 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3674160, while the sum is 55.

The spelling of 105793144399 in words is "one hundred five billion, seven hundred ninety-three million, one hundred forty-four thousand, three hundred ninety-nine".