105930442117 has 2 divisors, whose sum is σ = 105930442118. Its totient is φ = 105930442116.

The previous prime is 105930442103. The next prime is 105930442127. The reversal of 105930442117 is 711244039501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103528854081 + 2401588036 = 321759^2 + 49006^2 .

It is an emirp because it is prime and its reverse (711244039501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105930442117 - 2⁷ = 105930441989 is a prime.

It is a super-2 number, since 2×105930442117² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105930442127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52965221058 + 52965221059.

It is an arithmetic number, because the mean of its divisors is an integer number (52965221059).

Almost surely, 2^105930442117 is an apocalyptic number.

It is an amenable number.

105930442117 is a deficient number, since it is larger than the sum of its proper divisors (1).

105930442117 is an equidigital number, since it uses as much as digits as its factorization.

105930442117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 105930442117 in words is "one hundred five billion, nine hundred thirty million, four hundred forty-two thousand, one hundred seventeen".