10105105010591 has 2 divisors, whose sum is σ = 10105105010592. Its totient is φ = 10105105010590.

The previous prime is 10105105010557. The next prime is 10105105010653. The reversal of 10105105010591 is 19501050150101.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10105105010591 - 2³⁸ = 9830227103647 is a prime.

It is a super-2 number, since 2×10105105010591² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10105105015591) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5052552505295 + 5052552505296.

It is an arithmetic number, because the mean of its divisors is an integer number (5052552505296).

Almost surely, 2^{10105105010591} is an apocalyptic number.

10105105010591 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105105010591 is an equidigital number, since it uses as much as digits as its factorization.

10105105010591 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1125, while the sum is 29.

Adding to 10105105010591 its reverse (19501050150101), we get a palindrome (29606155160692).

The spelling of 10105105010591 in words is "ten trillion, one hundred five billion, one hundred five million, ten thousand, five hundred ninety-one".