10505105591 has 2 divisors, whose sum is σ = 10505105592. Its totient is φ = 10505105590.

The previous prime is 10505105587. The next prime is 10505105603. The reversal of 10505105591 is 19550150501.

10505105591 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10505105591 - 2² = 10505105587 is a prime.

It is a super-2 number, since 2×10505105591² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10505105291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5252552795 + 5252552796.

It is an arithmetic number, because the mean of its divisors is an integer number (5252552796).

Almost surely, 2^10505105591 is an apocalyptic number.

10505105591 is a deficient number, since it is larger than the sum of its proper divisors (1).

10505105591 is an equidigital number, since it uses as much as digits as its factorization.

10505105591 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5625, while the sum is 32.

The spelling of 10505105591 in words is "ten billion, five hundred five million, one hundred five thousand, five hundred ninety-one".