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106786673 = 7174143509
BaseRepresentation
bin1100101110101…
…10111101110001
321102221022202222
412113112331301
5204314133143
614332450425
72434446260
oct627267561
9242838688
10106786673
1155307454
122b919a15
131917b8a6
141027a5d7
159595768
hex65d6f71

106786673 has 32 divisors (see below), whose sum is σ = 135717120. Its totient is φ = 81930240.

The previous prime is 106786651. The next prime is 106786681. The reversal of 106786673 is 376687601.

It is a happy number.

It is not a de Polignac number, because 106786673 - 26 = 106786609 is a prime.

It is a super-2 number, since 2×1067866732 = 22806787060817858, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106786633) 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 31 ways as a sum of consecutive naturals, for example, 209543 + ... + 210051.

It is an arithmetic number, because the mean of its divisors is an integer number (4241160).

Almost surely, 2106786673 is an apocalyptic number.

It is an amenable number.

106786673 is a deficient number, since it is larger than the sum of its proper divisors (28930447).

106786673 is a wasteful number, since it uses less digits than its factorization.

106786673 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617.

The product of its (nonzero) digits is 254016, while the sum is 44.

The square root of 106786673 is about 10333.7637383482. The cubic root of 106786673 is about 474.4302279930.

The spelling of 106786673 in words is "one hundred six million, seven hundred eighty-six thousand, six hundred seventy-three".

Divisors: 1 7 17 41 43 119 287 301 509 697 731 1763 3563 4879 5117 8653 12341 20869 21887 29971 60571 146083 153209 209797 354773 372079 897367 2483411 2604553 6281569 15255239 106786673