105414532241 has 2 divisors, whose sum is σ = 105414532242. Its totient is φ = 105414532240.

The previous prime is 105414532231. The next prime is 105414532253. The reversal of 105414532241 is 142235414501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 71086224400 + 34328307841 = 266620^2 + 185279^2 .

It is an emirp because it is prime and its reverse (142235414501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105414532241 - 2⁶ = 105414532177 is a prime.

It is a super-2 number, since 2×105414532241² (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105414532198 and 105414532207.

It is not a weakly prime, because it can be changed into another prime (105414532231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52707266120 + 52707266121.

It is an arithmetic number, because the mean of its divisors is an integer number (52707266121).

Almost surely, 2^105414532241 is an apocalyptic number.

It is an amenable number.

105414532241 is a deficient number, since it is larger than the sum of its proper divisors (1).

105414532241 is an equidigital number, since it uses as much as digits as its factorization.

105414532241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19200, while the sum is 32.

Adding to 105414532241 its reverse (142235414501), we get a palindrome (247649946742).

The spelling of 105414532241 in words is "one hundred five billion, four hundred fourteen million, five hundred thirty-two thousand, two hundred forty-one".