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105361717 is a prime number
BaseRepresentation
bin1100100011110…
…11000100110101
321100020221002211
412101323010311
5203433033332
614242133421
72416363006
oct621730465
9240227084
10105361717
11545238aa
122b351271
1318aa0116
14ddc91ad
1593b3447
hex647b135

105361717 has 2 divisors, whose sum is σ = 105361718. Its totient is φ = 105361716.

The previous prime is 105361693. The next prime is 105361741. The reversal of 105361717 is 717163501.

It is a balanced prime because it is at equal distance from previous prime (105361693) and next prime (105361741).

It can be written as a sum of positive squares in only one way, i.e., 59582961 + 45778756 = 7719^2 + 6766^2 .

It is a cyclic number.

It is not a de Polignac number, because 105361717 - 223 = 96973109 is a prime.

It is a super-2 number, since 2×1053617172 = 22202182818376178, 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 (105361757) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52680858 + 52680859.

It is an arithmetic number, because the mean of its divisors is an integer number (52680859).

Almost surely, 2105361717 is an apocalyptic number.

It is an amenable number.

105361717 is a deficient number, since it is larger than the sum of its proper divisors (1).

105361717 is an equidigital number, since it uses as much as digits as its factorization.

105361717 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4410, while the sum is 31.

The square root of 105361717 is about 10264.5855737092. The cubic root of 105361717 is about 472.3105136831.

The spelling of 105361717 in words is "one hundred five million, three hundred sixty-one thousand, seven hundred seventeen".