105311117 has 2 divisors, whose sum is σ = 105311118. Its totient is φ = 105311116.

The previous prime is 105311077. The next prime is 105311149. The reversal of 105311117 is 711113501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72352036 + 32959081 = 8506^2 + 5741^2 .

It is a cyclic number.

It is not a de Polignac number, because 105311117 - 2¹² = 105307021 is a prime.

It is a super-2 number, since 2×105311117² = 22180862727575378, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105311177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52655558 + 52655559.

It is an arithmetic number, because the mean of its divisors is an integer number (52655559).

Almost surely, 2^105311117 is an apocalyptic number.

It is an amenable number.

105311117 is a deficient number, since it is larger than the sum of its proper divisors (1).

105311117 is an equidigital number, since it uses as much as digits as its factorization.

105311117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 20.

The square root of 105311117 is about 10262.1204923739. The cubic root of 105311117 is about 472.2348924818.

Adding to 105311117 its reverse (711113501), we get a palindrome (816424618).

The spelling of 105311117 in words is "one hundred five million, three hundred eleven thousand, one hundred seventeen".