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106784055 = 335717323
BaseRepresentation
bin1100101110101…
…10010100110111
321102221012012000
412113112110313
5204314042210
614332430343
72434435530
oct627262467
9242835160
10106784055
1155305494
122b9183b3
131917a641
1410279687
159594ac0
hex65d6537

106784055 has 128 divisors (see below), whose sum is σ = 240537600. Its totient is φ = 43946496.

The previous prime is 106784039. The next prime is 106784059. The reversal of 106784055 is 550487601.

It is not a de Polignac number, because 106784055 - 24 = 106784039 is a prime.

It is a super-2 number, since 2×1067840552 = 22805668804486050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106784059) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4642774 + ... + 4642796.

It is an arithmetic number, because the mean of its divisors is an integer number (1879200).

Almost surely, 2106784055 is an apocalyptic number.

106784055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106784055 is an abundant number, since it is smaller than the sum of its proper divisors (133753545).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106784055 is an equidigital number, since it uses as much as digits as its factorization.

106784055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 106784055 is about 10333.6370654286. The cubic root of 106784055 is about 474.4263508910.

The spelling of 106784055 in words is "one hundred six million, seven hundred eighty-four thousand, fifty-five".

Divisors: 1 3 5 7 9 15 17 21 23 27 35 45 51 63 69 85 105 115 119 135 153 161 189 207 255 289 315 345 357 391 459 483 595 621 765 805 867 945 1035 1071 1173 1445 1449 1785 1955 2023 2295 2415 2601 2737 3105 3213 3519 4335 4347 4913 5355 5865 6069 6647 7245 7803 8211 10115 10557 13005 13685 14739 16065 17595 18207 19941 21735 24565 24633 30345 33235 34391 39015 41055 44217 46529 52785 54621 59823 73695 73899 91035 99705 103173 112999 123165 132651 139587 171955 179469 221085 232645 273105 299115 309519 338997 369495 418761 515865 564995 663255 697935 790993 897345 928557 1016991 1256283 1547595 1694985 2093805 2372979 3050973 3954965 4642785 5084955 6281415 7118937 11864895 15254865 21356811 35594685 106784055