105084508241 has 2 divisors, whose sum is σ = 105084508242. Its totient is φ = 105084508240.

The previous prime is 105084508127. The next prime is 105084508259. The reversal of 105084508241 is 142805480501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90321286225 + 14763222016 = 300535^2 + 121504^2 .

It is a cyclic number.

It is not a de Polignac number, because 105084508241 - 2¹⁴ = 105084491857 is a prime.

It is a super-2 number, since 2×105084508241² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105084508195 and 105084508204.

It is not a weakly prime, because it can be changed into another prime (105084502241) 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, 52542254120 + 52542254121.

It is an arithmetic number, because the mean of its divisors is an integer number (52542254121).

Almost surely, 2^105084508241 is an apocalyptic number.

It is an amenable number.

105084508241 is a deficient number, since it is larger than the sum of its proper divisors (1).

105084508241 is an equidigital number, since it uses as much as digits as its factorization.

105084508241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 51200, while the sum is 38.

Adding to 105084508241 its reverse (142805480501), we get a palindrome (247889988742).

The spelling of 105084508241 in words is "one hundred five billion, eighty-four million, five hundred eight thousand, two hundred forty-one".