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106817229 = 3247673769
BaseRepresentation
bin1100101110111…
…10011011001101
321102222212200200
412113132123031
5204321122404
614333244113
72434634331
oct627363315
9242885620
10106817229
1155328402
122b933639
131918c77c
14102877c1
15959e839
hex65de6cd

106817229 has 24 divisors (see below), whose sum is σ = 159968640. Its totient is φ = 68637888.

The previous prime is 106817209. The next prime is 106817251. The reversal of 106817229 is 922718601.

It is not a de Polignac number, because 106817229 - 28 = 106816973 is a prime.

It is a super-2 number, since 2×1068172292 = 22819840822476882, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106817193 and 106817202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106817209) 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 in 23 ways as a sum of consecutive naturals, for example, 26457 + ... + 30225.

It is an arithmetic number, because the mean of its divisors is an integer number (6665360).

Almost surely, 2106817229 is an apocalyptic number.

It is an amenable number.

106817229 is a deficient number, since it is larger than the sum of its proper divisors (53151411).

106817229 is a wasteful number, since it uses less digits than its factorization.

106817229 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3889 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 106817229 is about 10335.2420871502. The cubic root of 106817229 is about 474.4754749237.

The spelling of 106817229 in words is "one hundred six million, eight hundred seventeen thousand, two hundred twenty-nine".

Divisors: 1 3 9 47 67 141 201 423 603 3149 3769 9447 11307 28341 33921 177143 252523 531429 757569 1594287 2272707 11868581 35605743 106817229