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106497029 is a prime number
BaseRepresentation
bin1100101100100…
…00010000000101
321102101121110102
412112100100011
5204230401104
614322333445
72432131652
oct626202005
9242347412
10106497029
1155129881
122b7ba285
13190a9ac2
1410202c29
159539a1e
hex6590405

106497029 has 2 divisors, whose sum is σ = 106497030. Its totient is φ = 106497028.

The previous prime is 106497011. The next prime is 106497043. The reversal of 106497029 is 920794601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72216004 + 34281025 = 8498^2 + 5855^2 .

It is a cyclic number.

It is not a de Polignac number, because 106497029 - 212 = 106492933 is a prime.

It is a super-2 number, since 2×1064970292 = 22683234371653682, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 106496983 and 106497001.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106497529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53248514 + 53248515.

It is an arithmetic number, because the mean of its divisors is an integer number (53248515).

Almost surely, 2106497029 is an apocalyptic number.

It is an amenable number.

106497029 is a deficient number, since it is larger than the sum of its proper divisors (1).

106497029 is an equidigital number, since it uses as much as digits as its factorization.

106497029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 106497029 is about 10319.7397738509. The cubic root of 106497029 is about 474.0008975871. Note that the first 3 decimals are identical.

The spelling of 106497029 in words is "one hundred six million, four hundred ninety-seven thousand, twenty-nine".