105786442193 has 2 divisors, whose sum is σ = 105786442194. Its totient is φ = 105786442192.

The previous prime is 105786442123. The next prime is 105786442297. The reversal of 105786442193 is 391244687501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97423888384 + 8362553809 = 312128^2 + 91447^2 .

It is a cyclic number.

It is not a de Polignac number, because 105786442193 - 2¹⁴ = 105786425809 is a prime.

It is a super-2 number, since 2×105786442193² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105786442123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52893221096 + 52893221097.

It is an arithmetic number, because the mean of its divisors is an integer number (52893221097).

It is a 1-persistent number, because it is pandigital, but 2⋅105786442193 = 211572884386 is not.

Almost surely, 2^105786442193 is an apocalyptic number.

It is an amenable number.

105786442193 is a deficient number, since it is larger than the sum of its proper divisors (1).

105786442193 is an equidigital number, since it uses as much as digits as its factorization.

105786442193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1451520, while the sum is 50.

The spelling of 105786442193 in words is "one hundred five billion, seven hundred eighty-six million, four hundred forty-two thousand, one hundred ninety-three".