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106166655 = 32574771101
BaseRepresentation
bin1100101001111…
…11100101111111
321101202211021100
412110333211333
5204134313110
614311304143
72426254530
oct624774577
9241684240
10106166655
1154a23641
122b67b053
1318cc260a
1410158687
1594c1bc0
hex653f97f

106166655 has 96 divisors (see below), whose sum is σ = 219967488. Its totient is φ = 46368000.

The previous prime is 106166633. The next prime is 106166681. The reversal of 106166655 is 556661601.

It is not a de Polignac number, because 106166655 - 26 = 106166591 is a prime.

It is a super-2 number, since 2×1061666552 = 22542717267778050, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1051105 + ... + 1051205.

It is an arithmetic number, because the mean of its divisors is an integer number (2291328).

Almost surely, 2106166655 is an apocalyptic number.

106166655 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106166655 is an abundant number, since it is smaller than the sum of its proper divisors (113800833).

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

106166655 is a wasteful number, since it uses less digits than its factorization.

106166655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 106166655 is about 10303.7204445773. The cubic root of 106166655 is about 473.5102429480.

It can be divided in two parts, 10616 and 6655, that added together give a palindrome (17271).

The spelling of 106166655 in words is "one hundred six million, one hundred sixty-six thousand, six hundred fifty-five".

Divisors: 1 3 5 7 9 15 21 35 45 47 63 71 101 105 141 213 235 303 315 329 355 423 497 505 639 705 707 909 987 1065 1491 1515 1645 2115 2121 2485 2961 3195 3337 3535 4473 4545 4747 4935 6363 7171 7455 10011 10605 14241 14805 16685 21513 22365 23359 23735 30033 31815 33229 35855 42723 50055 50197 64539 70077 71205 99687 107565 116795 150165 150591 166145 210231 213615 250985 299061 322695 337037 350385 451773 498435 752955 1011111 1051155 1495305 1685185 2258865 2359259 3033333 5055555 7077777 11796295 15166665 21233331 35388885 106166655