10105805826107 has 2 divisors, whose sum is σ = 10105805826108. Its totient is φ = 10105805826106.

The previous prime is 10105805826071. The next prime is 10105805826121. The reversal of 10105805826107 is 70162850850101.

Together with previous prime (10105805826071) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10105805826107 - 2¹² = 10105805822011 is a prime.

It is a super-2 number, since 2×10105805826107² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10105805826187) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5052902913053 + 5052902913054.

It is an arithmetic number, because the mean of its divisors is an integer number (5052902913054).

Almost surely, 2^{10105805826107} is an apocalyptic number.

10105805826107 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105805826107 is an equidigital number, since it uses as much as digits as its factorization.

10105805826107 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 134400, while the sum is 44.

The spelling of 10105805826107 in words is "ten trillion, one hundred five billion, eight hundred five million, eight hundred twenty-six thousand, one hundred seven".