105760241 has 2 divisors, whose sum is σ = 105760242. Its totient is φ = 105760240.

The previous prime is 105760201. The next prime is 105760253. The reversal of 105760241 is 142067501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105657841 + 102400 = 10279^2 + 320^2 .

It is a cyclic number.

It is not a de Polignac number, because 105760241 - 2¹⁰ = 105759217 is a prime.

It is a super-2 number, since 2×105760241² = 22370457152756162, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105760241.

It is not a weakly prime, because it can be changed into another prime (105760201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52880120 + 52880121.

It is an arithmetic number, because the mean of its divisors is an integer number (52880121).

Almost surely, 2^105760241 is an apocalyptic number.

It is an amenable number.

105760241 is a deficient number, since it is larger than the sum of its proper divisors (1).

105760241 is an equidigital number, since it uses as much as digits as its factorization.

105760241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1680, while the sum is 26.

The square root of 105760241 is about 10283.9798230063. The cubic root of 105760241 is about 472.9052592857.

The spelling of 105760241 in words is "one hundred five million, seven hundred sixty thousand, two hundred forty-one".