105613241 has 2 divisors, whose sum is σ = 105613242. Its totient is φ = 105613240.

The previous prime is 105613201. The next prime is 105613243. The reversal of 105613241 is 142316501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66912400 + 38700841 = 8180^2 + 6221^2 .

It is a cyclic number.

It is not a de Polignac number, because 105613241 - 2⁶ = 105613177 is a prime.

It is a super-2 number, since 2×105613241² = 22308313349048162, which contains 22 as substring.

Together with 105613243, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105613243) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52806620 + 52806621.

It is an arithmetic number, because the mean of its divisors is an integer number (52806621).

Almost surely, 2^105613241 is an apocalyptic number.

It is an amenable number.

105613241 is a deficient number, since it is larger than the sum of its proper divisors (1).

105613241 is an equidigital number, since it uses as much as digits as its factorization.

105613241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 105613241 is about 10276.8302992703. The cubic root of 105613241 is about 472.6860549626.

Adding to 105613241 its reverse (142316501), we get a palindrome (247929742).

The spelling of 105613241 in words is "one hundred five million, six hundred thirteen thousand, two hundred forty-one".