10105727 has 2 divisors, whose sum is σ = 10105728. Its totient is φ = 10105726.

The previous prime is 10105709. The next prime is 10105741. The reversal of 10105727 is 72750101.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (72750101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10105727 - 2¹⁸ = 9843583 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10105747) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5052863 + 5052864.

It is an arithmetic number, because the mean of its divisors is an integer number (5052864).

Almost surely, 2^10105727 is an apocalyptic number.

10105727 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105727 is an equidigital number, since it uses as much as digits as its factorization.

10105727 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 490, while the sum is 23.

The square root of 10105727 is about 3178.9506130168. The cubic root of 10105727 is about 216.2000818100.

Adding to 10105727 its reverse (72750101), we get a palindrome (82855828).

The spelling of 10105727 in words is "ten million, one hundred five thousand, seven hundred twenty-seven".