105745781 has 2 divisors, whose sum is σ = 105745782. Its totient is φ = 105745780.

The previous prime is 105745733. The next prime is 105745793. The reversal of 105745781 is 187547501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64657681 + 41088100 = 8041^2 + 6410^2 .

It is a cyclic number.

It is not a de Polignac number, because 105745781 - 2¹⁰ = 105744757 is a prime.

It is a super-2 number, since 2×105745781² = 22364340398599922, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105745711) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52872890 + 52872891.

It is an arithmetic number, because the mean of its divisors is an integer number (52872891).

Almost surely, 2^105745781 is an apocalyptic number.

It is an amenable number.

105745781 is a deficient number, since it is larger than the sum of its proper divisors (1).

105745781 is an equidigital number, since it uses as much as digits as its factorization.

105745781 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39200, while the sum is 38.

The square root of 105745781 is about 10283.2767637558. The cubic root of 105745781 is about 472.8837057489.

The spelling of 105745781 in words is "one hundred five million, seven hundred forty-five thousand, seven hundred eighty-one".