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106106321 is a prime number
BaseRepresentation
bin1100101001100…
…00110111010001
321101122202111202
412110300313101
5204130400241
614310120545
72425613606
oct624606721
9241582452
10106106321
1154992282
122b650155
1318ca1009
14101406ad
1594add9b
hex6530dd1

106106321 has 2 divisors, whose sum is σ = 106106322. Its totient is φ = 106106320.

The previous prime is 106106309. The next prime is 106106323. The reversal of 106106321 is 123601601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90935296 + 15171025 = 9536^2 + 3895^2 .

It is an emirp because it is prime and its reverse (123601601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106106321 - 222 = 101912017 is a prime.

It is a super-2 number, since 2×1061063212 = 22517102712310082, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 106106323, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106106293 and 106106302.

It is not a weakly prime, because it can be changed into another prime (106106323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53053160 + 53053161.

It is an arithmetic number, because the mean of its divisors is an integer number (53053161).

Almost surely, 2106106321 is an apocalyptic number.

It is an amenable number.

106106321 is a deficient number, since it is larger than the sum of its proper divisors (1).

106106321 is an equidigital number, since it uses as much as digits as its factorization.

106106321 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 106106321 is about 10300.7922510844. The cubic root of 106106321 is about 473.4205280856.

Adding to 106106321 its reverse (123601601), we get a palindrome (229707922).

The spelling of 106106321 in words is "one hundred six million, one hundred six thousand, three hundred twenty-one".