105081404117 has 2 divisors, whose sum is σ = 105081404118. Its totient is φ = 105081404116.

The previous prime is 105081404083. The next prime is 105081404119. The reversal of 105081404117 is 711404180501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101841403876 + 3240000241 = 319126^2 + 56921^2 .

It is a cyclic number.

It is not a de Polignac number, because 105081404117 - 2¹⁶ = 105081338581 is a prime.

It is a super-2 number, since 2×105081404117² (a number of 23 digits) contains 22 as substring.

Together with 105081404119, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105081404119) 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, 52540702058 + 52540702059.

It is an arithmetic number, because the mean of its divisors is an integer number (52540702059).

Almost surely, 2^105081404117 is an apocalyptic number.

It is an amenable number.

105081404117 is a deficient number, since it is larger than the sum of its proper divisors (1).

105081404117 is an equidigital number, since it uses as much as digits as its factorization.

105081404117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4480, while the sum is 32.

Adding to 105081404117 its reverse (711404180501), we get a palindrome (816485584618).

The spelling of 105081404117 in words is "one hundred five billion, eighty-one million, four hundred four thousand, one hundred seventeen".