105825281 has 2 divisors, whose sum is σ = 105825282. Its totient is φ = 105825280.

The previous prime is 105825271. The next prime is 105825299. The reversal of 105825281 is 182528501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79210000 + 26615281 = 8900^2 + 5159^2 .

It is an emirp because it is prime and its reverse (182528501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105825281 - 2¹⁸ = 105563137 is a prime.

It is a super-2 number, since 2×105825281² = 22397980197457922, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Chen prime.

It is a Curzon number.

It is equal to p_6077363 and since 105825281 and 6077363 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 (105825241) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52912640 + 52912641.

It is an arithmetic number, because the mean of its divisors is an integer number (52912641).

Almost surely, 2^105825281 is an apocalyptic number.

It is an amenable number.

105825281 is a deficient number, since it is larger than the sum of its proper divisors (1).

105825281 is an equidigital number, since it uses as much as digits as its factorization.

105825281 is an evil number, because the sum of its binary digits is even.

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

The square root of 105825281 is about 10287.1415368896. The cubic root of 105825281 is about 473.0021812002.

The spelling of 105825281 in words is "one hundred five million, eight hundred twenty-five thousand, two hundred eighty-one".