105805481 has 2 divisors, whose sum is σ = 105805482. Its totient is φ = 105805480.

The previous prime is 105805463. The next prime is 105805487. The reversal of 105805481 is 184508501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99600400 + 6205081 = 9980^2 + 2491^2 .

It is an emirp because it is prime and its reverse (184508501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105805481 - 2⁶ = 105805417 is a prime.

It is a super-2 number, since 2×105805481² = 22389599619282722, which contains 22 as substring.

It is equal to p_6076274 and since 105805481 and 6076274 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (105805487) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52902740 + 52902741.

It is an arithmetic number, because the mean of its divisors is an integer number (52902741).

Almost surely, 2^105805481 is an apocalyptic number.

It is an amenable number.

105805481 is a deficient number, since it is larger than the sum of its proper divisors (1).

105805481 is an equidigital number, since it uses as much as digits as its factorization.

105805481 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6400, while the sum is 32.

The square root of 105805481 is about 10286.1791254090. The cubic root of 105805481 is about 472.9726796569.

It can be divided in two parts, 10580 and 5481, that added together give a palindrome (16061).

The spelling of 105805481 in words is "one hundred five million, eight hundred five thousand, four hundred eighty-one".