105795542506909 has 2 divisors, whose sum is σ = 105795542506910. Its totient is φ = 105795542506908.

The previous prime is 105795542506897. The next prime is 105795542506921. The reversal of 105795542506909 is 909605245597501.

It is a balanced prime because it is at equal distance from previous prime (105795542506897) and next prime (105795542506921).

It can be written as a sum of positive squares in only one way, i.e., 95697110600100 + 10098431906809 = 9782490^2 + 3177803^2 .

It is a cyclic number.

It is not a de Polignac number, because 105795542506909 - 2⁵ = 105795542506877 is a prime.

It is a super-2 number, since 2×105795542506909² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105795542506999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52897771253454 + 52897771253455.

It is an arithmetic number, because the mean of its divisors is an integer number (52897771253455).

Almost surely, 2^{105795542506909} is an apocalyptic number.

It is an amenable number.

105795542506909 is a deficient number, since it is larger than the sum of its proper divisors (1).

105795542506909 is an equidigital number, since it uses as much as digits as its factorization.

105795542506909 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 153090000, while the sum is 67.

The spelling of 105795542506909 in words is "one hundred five trillion, seven hundred ninety-five billion, five hundred forty-two million, five hundred six thousand, nine hundred nine".