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105396229 is a prime number
BaseRepresentation
bin1100100100000…
…11100000000101
321100022200110001
412102003200011
5203440134404
614243001301
72416565431
oct622034005
9240280401
10105396229
1154547824
122b369231
1318ab2a43
14ddd79c1
1593bd7a4
hex6483805

105396229 has 2 divisors, whose sum is σ = 105396230. Its totient is φ = 105396228.

The previous prime is 105396197. The next prime is 105396233. The reversal of 105396229 is 922693501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79691329 + 25704900 = 8927^2 + 5070^2 .

It is a cyclic number.

It is not a de Polignac number, because 105396229 - 25 = 105396197 is a prime.

It is a super-2 number, since 2×1053962292 = 22216730174840882, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105396299) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52698114 + 52698115.

It is an arithmetic number, because the mean of its divisors is an integer number (52698115).

Almost surely, 2105396229 is an apocalyptic number.

It is an amenable number.

105396229 is a deficient number, since it is larger than the sum of its proper divisors (1).

105396229 is an equidigital number, since it uses as much as digits as its factorization.

105396229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29160, while the sum is 37.

The square root of 105396229 is about 10266.2665560563. The cubic root of 105396229 is about 472.3620776397.

It can be divided in two parts, 105396 and 229, that added together give a square (105625 = 3252).

The spelling of 105396229 in words is "one hundred five million, three hundred ninety-six thousand, two hundred twenty-nine".