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106282017 = 3334911279
BaseRepresentation
bin1100101010110…
…11110000100001
321101222200112000
412111123300201
5204202011032
614313554213
72430245052
oct625336041
9241880460
10106282017
1154aa2286
122b715969
1319032c8a
1410188729
1594e5e7c
hex655bc21

106282017 has 16 divisors (see below), whose sum is σ = 157920000. Its totient is φ = 70645392.

The previous prime is 106282009. The next prime is 106282039. The reversal of 106282017 is 710282601.

106282017 is a `hidden beast` number, since 1 + 0 + 628 + 20 + 17 = 666.

It is not a de Polignac number, because 106282017 - 23 = 106282009 is a prime.

It is a super-2 number, since 2×1062820172 = 22591734275176578, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106287017) 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 in 15 ways as a sum of consecutive naturals, for example, 3784 + ... + 15062.

It is an arithmetic number, because the mean of its divisors is an integer number (9870000).

Almost surely, 2106282017 is an apocalyptic number.

It is an amenable number.

106282017 is a deficient number, since it is larger than the sum of its proper divisors (51637983).

106282017 is a wasteful number, since it uses less digits than its factorization.

106282017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11637 (or 11631 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 106282017 is about 10309.3169996853. The cubic root of 106282017 is about 473.6816882263.

The spelling of 106282017 in words is "one hundred six million, two hundred eighty-two thousand, seventeen".

Divisors: 1 3 9 27 349 1047 3141 9423 11279 33837 101511 304533 3936371 11809113 35427339 106282017