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106044217 is a prime number
BaseRepresentation
bin1100101001000…
…01101100111001
321101112121022121
412110201230321
5204121403332
614304521241
72425234546
oct624415471
9241477277
10106044217
115494a654
122b620221
1318c7b976
1410125bcd
15949a797
hex6521b39

106044217 has 2 divisors, whose sum is σ = 106044218. Its totient is φ = 106044216.

The previous prime is 106044167. The next prime is 106044233. The reversal of 106044217 is 712440601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103550976 + 2493241 = 10176^2 + 1579^2 .

It is an emirp because it is prime and its reverse (712440601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106044217 - 27 = 106044089 is a prime.

It is a super-2 number, since 2×1060442172 = 22490751918286178, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106044191 and 106044200.

It is not a weakly prime, because it can be changed into another prime (106044277) 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, 53022108 + 53022109.

It is an arithmetic number, because the mean of its divisors is an integer number (53022109).

Almost surely, 2106044217 is an apocalyptic number.

It is an amenable number.

106044217 is a deficient number, since it is larger than the sum of its proper divisors (1).

106044217 is an equidigital number, since it uses as much as digits as its factorization.

106044217 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 106044217 is about 10297.7772844435. Note that the first 3 decimals coincide. The cubic root of 106044217 is about 473.3281457586.

Adding to 106044217 its reverse (712440601), we get a palindrome (818484818).

The spelling of 106044217 in words is "one hundred six million, forty-four thousand, two hundred seventeen".