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105366505229 is a prime number
BaseRepresentation
bin110001000100001010…
…1010100011100001101
3101001222011200001110122
41202020111110130031
53211242311131404
6120223225514325
710420036342226
oct1421025243415
9331864601418
10105366505229
114075a710997
12185070429a5
139c2258301b
145157a8824d
152b1a43a3be
hex188855470d

105366505229 has 2 divisors, whose sum is σ = 105366505230. Its totient is φ = 105366505228.

The previous prime is 105366505217. The next prime is 105366505253. The reversal of 105366505229 is 922505663501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92778114025 + 12588391204 = 304595^2 + 112198^2 .

It is a cyclic number.

It is not a de Polignac number, because 105366505229 - 216 = 105366439693 is a prime.

It is a super-2 number, since 2×1053665052292 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105366505229.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105366502229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52683252614 + 52683252615.

It is an arithmetic number, because the mean of its divisors is an integer number (52683252615).

Almost surely, 2105366505229 is an apocalyptic number.

It is an amenable number.

105366505229 is a deficient number, since it is larger than the sum of its proper divisors (1).

105366505229 is an equidigital number, since it uses as much as digits as its factorization.

105366505229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486000, while the sum is 44.

The spelling of 105366505229 in words is "one hundred five billion, three hundred sixty-six million, five hundred five thousand, two hundred twenty-nine".