105117281 has 2 divisors, whose sum is σ = 105117282. Its totient is φ = 105117280.

The previous prime is 105117269. The next prime is 105117289. The reversal of 105117281 is 182711501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89946256 + 15171025 = 9484^2 + 3895^2 .

It is a cyclic number.

It is not a de Polignac number, because 105117281 - 2⁶ = 105117217 is a prime.

It is a super-2 number, since 2×105117281² = 22099285529665922, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105117281.

It is not a weakly prime, because it can be changed into another prime (105117289) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52558640 + 52558641.

It is an arithmetic number, because the mean of its divisors is an integer number (52558641).

Almost surely, 2^105117281 is an apocalyptic number.

It is an amenable number.

105117281 is a deficient number, since it is larger than the sum of its proper divisors (1).

105117281 is an equidigital number, since it uses as much as digits as its factorization.

105117281 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 560, while the sum is 26.

The square root of 105117281 is about 10252.6718956572. The cubic root of 105117281 is about 471.9449821561.

Adding to 105117281 its reverse (182711501), we get a palindrome (287828782).

The spelling of 105117281 in words is "one hundred five million, one hundred seventeen thousand, two hundred eighty-one".