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106 squared, (106)2, is the number you get when multiplying 106 times 106.
It can also be looked at as exponentiation involving the base 106 and the exponent 2.
The term is usually pronounced one hundred six times one hundred six or one hundred six squared.
The square of 106 is a perfect square because the number is the product of the two equal integers 106.
It can be written as 106 × 106 or in exponential form.
Read on to learn everything about the number one hundred six squared, including useful identities.
Calculator
(106)2 = 11,236
106 × 106 = 11,236
The inverse operation of squaring one hundred six is extracting the square root of 106, explained here.
In the next section we elaborate on what is 106 squared and there you can also find our calculator.
What is 106 Squared?
A square is a flat shape with four equal sides; every angle is 90°.
Hence, a square with side length 106 has an area of 11,236.
106 squared equals the sum of the first 106 odd numbers:
In addition, the number can be calculated from 105 squared using the following identity:
n2 = (n − 1)2 + (n − 1) + n = (n − 1)2 + (2n − 1)
(106)2 = 1052 + 105 + 106 = 1052 + 211 = 11,236
It can be also be computed from 105 squared with this identity:
n2 = 2 x (n − 1)2 − (n − 2)2 + 2
(106)2 = 2 x 1052 – 1042 + 2 = 2 x 11025 – 10816 + 2 = 11,236
The difference between the perfect square of 106 and its predecessor, 105, can be calculated with the identity n2 − (n − 1)2 = 2n − 1:
2 x 106 – 1 = 211 = (106)2 – 1052 = 11,236 – 11025 = 211
106 is even, and the square numbers of even numbers are also even: (2n)2 = 4n2.
Squares of even numbers like 106 are divisible by 4 for
= n2.
If you want to calculate the square of any number, not only integers like 106, you can use our calculator above.
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A square similar to 106 is, for example: square of 108.
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The following table contains the squares of numbers close to 106.
Table
| Number | Square |
|---|---|
| 101 | 10,201 |
| 102 | 10,404 |
| 103 | 10,609 |
| 104 | 10,816 |
| 105 | 11,025 |
| 106 | 11,236 |
| 107 | 11,449 |
| 108 | 11,664 |
| 109 | 11,881 |
| 110 | 12,100 |
| 111 | 12,321 |
One Hundred Six Squared
By reading so far you know all about squaring the number 106 and calculating it using recursive methods, or as sum, product or by exponentiation.
106 squared is equivalent to 11,236.
If you were searching for what is 106 squared in math or if you typed whats 106 squared in the search engine you now have all the answers, too.
The same goes for searches like square106, and 106 to the 2nd power, just to name a few more examples people are often looking for.
Note that you can also find many perfect squares including 106 squared using the search form in the sidebar of this page.
Ahead is the summary of our information.
Conclusion
To sum up,
106 squared = 106 × 106 = (106)2 = 11,236.
The exponentiation form is mostly used to denote one hundred six squared.
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– Article written by Mark, last updated on November 26th, 2023