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106217 is a prime number
BaseRepresentation
bin11001111011101001
312101200222
4121323221
511344332
62135425
7621446
oct317351
9171628
10106217
1172891
1251575
1339467
142a9cd
1521712
hex19ee9

106217 has 2 divisors, whose sum is σ = 106218. Its totient is φ = 106216.

The previous prime is 106213. The next prime is 106219. The reversal of 106217 is 712601.

It is a happy number.

106217 is nontrivially palindromic in base 15.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72361 + 33856 = 269^2 + 184^2 .

It is an emirp because it is prime and its reverse (712601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106217 - 22 = 106213 is a prime.

It is a super-2 number, since 2×1062172 = 22564102178, which contains 22 as substring.

Together with 106219, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 106195 and 106204.

It is not a weakly prime, because it can be changed into another prime (106213) by changing a digit.

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

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53108 + 53109.

It is an arithmetic number, because the mean of its divisors is an integer number (53109).

2106217 is an apocalyptic number.

It is an amenable number.

106217 is a deficient number, since it is larger than the sum of its proper divisors (1).

106217 is an equidigital number, since it uses as much as digits as its factorization.

106217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 106217 is about 325.9094966398. The cubic root of 106217 is about 47.3585078454.

Adding to 106217 its reverse (712601), we get a palindrome (818818).

It can be divided in two parts, 10621 and 7, that multiplied together give a palindrome (74347).

The spelling of 106217 in words is "one hundred six thousand, two hundred seventeen".