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105358273 is a prime number
BaseRepresentation
bin1100100011110…
…10001111000001
321100020202101021
412101322033001
5203432431043
614242105441
72416346656
oct621721701
9240222337
10105358273
1154521259
122b34b281
1318a9b697
14ddc7c2d
1593b23ed
hex647a3c1

105358273 has 2 divisors, whose sum is σ = 105358274. Its totient is φ = 105358272.

The previous prime is 105358261. The next prime is 105358283. The reversal of 105358273 is 372853501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99540529 + 5817744 = 9977^2 + 2412^2 .

It is an emirp because it is prime and its reverse (372853501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105358273 - 213 = 105350081 is a prime.

It is a super-2 number, since 2×1053582732 = 22200731379085058, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105358283) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52679136 + 52679137.

It is an arithmetic number, because the mean of its divisors is an integer number (52679137).

Almost surely, 2105358273 is an apocalyptic number.

It is an amenable number.

105358273 is a deficient number, since it is larger than the sum of its proper divisors (1).

105358273 is an equidigital number, since it uses as much as digits as its factorization.

105358273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 105358273 is about 10264.4178110597. The cubic root of 105358273 is about 472.3053674270.

The spelling of 105358273 in words is "one hundred five million, three hundred fifty-eight thousand, two hundred seventy-three".