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105363217 is a prime number
BaseRepresentation
bin1100100011110…
…11011100010001
321100021000011101
412101323130101
5203433110332
614242144401
72416400251
oct621733421
9240230141
10105363217
1154524a43
122b352101
1318aa09cb
14ddc9961
1593b3ae7
hex647b711

105363217 has 2 divisors, whose sum is σ = 105363218. Its totient is φ = 105363216.

The previous prime is 105363191. The next prime is 105363233. The reversal of 105363217 is 712363501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54154881 + 51208336 = 7359^2 + 7156^2 .

It is a cyclic number.

It is not a de Polignac number, because 105363217 - 223 = 96974609 is a prime.

It is a super-2 number, since 2×1053632172 = 22202814993178178, which contains 22 as substring.

It is a nialpdrome in base 14.

It is not a weakly prime, because it can be changed into another prime (105363257) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52681608 + 52681609.

It is an arithmetic number, because the mean of its divisors is an integer number (52681609).

Almost surely, 2105363217 is an apocalyptic number.

It is an amenable number.

105363217 is a deficient number, since it is larger than the sum of its proper divisors (1).

105363217 is an equidigital number, since it uses as much as digits as its factorization.

105363217 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 105363217 is about 10264.6586402082. The cubic root of 105363217 is about 472.3127550488.

The spelling of 105363217 in words is "one hundred five million, three hundred sixty-three thousand, two hundred seventeen".