10105536173 has 2 divisors, whose sum is σ = 10105536174. Its totient is φ = 10105536172.

The previous prime is 10105536143. The next prime is 10105536193. The reversal of 10105536173 is 37163550101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6895973764 + 3209562409 = 83042^2 + 56653^2 .

It is a cyclic number.

It is not a de Polignac number, because 10105536173 - 2¹² = 10105532077 is a prime.

It is a super-2 number, since 2×10105536173² (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 (10105536143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5052768086 + 5052768087.

It is an arithmetic number, because the mean of its divisors is an integer number (5052768087).

Almost surely, 2^10105536173 is an apocalyptic number.

It is an amenable number.

10105536173 is a deficient number, since it is larger than the sum of its proper divisors (1).

10105536173 is an equidigital number, since it uses as much as digits as its factorization.

10105536173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9450, while the sum is 32.

The spelling of 10105536173 in words is "ten billion, one hundred five million, five hundred thirty-six thousand, one hundred seventy-three".