10505791 has 2 divisors, whose sum is σ = 10505792. Its totient is φ = 10505790.

The previous prime is 10505777. The next prime is 10505797. The reversal of 10505791 is 19750501.

10505791 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is an emirp because it is prime and its reverse (19750501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10505791 - 2¹¹ = 10503743 is a prime.

It is a super-2 number, since 2×10505791² = 220743289071362, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10505797) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5252895 + 5252896.

It is an arithmetic number, because the mean of its divisors is an integer number (5252896).

Almost surely, 2^10505791 is an apocalyptic number.

10505791 is a deficient number, since it is larger than the sum of its proper divisors (1).

10505791 is an equidigital number, since it uses as much as digits as its factorization.

10505791 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1575, while the sum is 28.

The square root of 10505791 is about 3241.2637967311. The cubic root of 10505791 is about 219.0162064138.

The spelling of 10505791 in words is "ten million, five hundred five thousand, seven hundred ninety-one".