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106666873 is a prime number
BaseRepresentation
bin1100101101110…
…01101101111001
321102201020102221
412112321231321
5204301314443
614330124041
72433440065
oct626715571
9242636387
10106666873
1155235445
122b880621
13191391c1
1410248aa5
15956eeed
hex65b9b79

106666873 has 2 divisors, whose sum is σ = 106666874. Its totient is φ = 106666872.

The previous prime is 106666849. The next prime is 106666907. The reversal of 106666873 is 378666601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61669609 + 44997264 = 7853^2 + 6708^2 .

It is a cyclic number.

It is not a de Polignac number, because 106666873 - 217 = 106535801 is a prime.

It is a super-2 number, since 2×1066668732 = 22755643591196258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106666673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53333436 + 53333437.

It is an arithmetic number, because the mean of its divisors is an integer number (53333437).

Almost surely, 2106666873 is an apocalyptic number.

It is an amenable number.

106666873 is a deficient number, since it is larger than the sum of its proper divisors (1).

106666873 is an equidigital number, since it uses as much as digits as its factorization.

106666873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 217728, while the sum is 43.

The square root of 106666873 is about 10327.9655789512. The cubic root of 106666873 is about 474.2527463925.

The spelling of 106666873 in words is "one hundred six million, six hundred sixty-six thousand, eight hundred seventy-three".