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108863 is a prime number
BaseRepresentation
bin11010100100111111
312112022222
4122210333
511440423
62155555
7632246
oct324477
9175288
10108863
1174877
1252bbb
133a721
142b95d
15223c8
hex1a93f

108863 has 2 divisors, whose sum is σ = 108864. Its totient is φ = 108862.

The previous prime is 108827. The next prime is 108869. The reversal of 108863 is 368801.

It is a strong prime.

It is an emirp because it is prime and its reverse (368801) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 108863 - 26 = 108799 is a prime.

It is a Sophie Germain prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (108869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 54431 + 54432.

It is an arithmetic number, because the mean of its divisors is an integer number (54432).

2108863 is an apocalyptic number.

108863 is a deficient number, since it is larger than the sum of its proper divisors (1).

108863 is an equidigital number, since it uses as much as digits as its factorization.

108863 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 108863 is about 329.9439346313. The cubic root of 108863 is about 47.7485402914.

The spelling of 108863 in words is "one hundred eight thousand, eight hundred sixty-three".