105360011101 has 2 divisors, whose sum is σ = 105360011102. Its totient is φ = 105360011100.

The previous prime is 105360011083. The next prime is 105360011111. The reversal of 105360011101 is 101110063501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76231762201 + 29128248900 = 276101^2 + 170670^2 .

It is a cyclic number.

It is not a de Polignac number, because 105360011101 - 2²¹ = 105357913949 is a prime.

It is a super-2 number, since 2×105360011101² (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 (105360011111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52680005550 + 52680005551.

It is an arithmetic number, because the mean of its divisors is an integer number (52680005551).

Almost surely, 2^105360011101 is an apocalyptic number.

It is an amenable number.

105360011101 is a deficient number, since it is larger than the sum of its proper divisors (1).

105360011101 is an equidigital number, since it uses as much as digits as its factorization.

105360011101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 19.

Adding to 105360011101 its reverse (101110063501), we get a palindrome (206470074602).

The spelling of 105360011101 in words is "one hundred five billion, three hundred sixty million, eleven thousand, one hundred one".