10500105605081 has 2 divisors, whose sum is σ = 10500105605082. Its totient is φ = 10500105605080.

The previous prime is 10500105605053. The next prime is 10500105605083. The reversal of 10500105605081 is 18050650100501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9978908241481 + 521197363600 = 3158941^2 + 721940^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10500105605081 is a prime.

It is a super-2 number, since 2×10500105605081² (a number of 27 digits) contains 22 as substring.

Together with 10500105605083, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10500105605083) 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, 5250052802540 + 5250052802541.

It is an arithmetic number, because the mean of its divisors is an integer number (5250052802541).

Almost surely, 2^{10500105605081} is an apocalyptic number.

It is an amenable number.

10500105605081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10500105605081 is an equidigital number, since it uses as much as digits as its factorization.

10500105605081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6000, while the sum is 32.

Adding to 10500105605081 its reverse (18050650100501), we get a palindrome (28550755705582).

The spelling of 10500105605081 in words is "ten trillion, five hundred billion, one hundred five million, six hundred five thousand, eighty-one".