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106166166 = 23136113001
BaseRepresentation
bin1100101001111…
…11011110010110
321101202210121020
412110333132112
5204134304131
614311302010
72426253231
oct624773626
9241683536
10106166166
1154a23237
122b67a906
1318cc2322
1410158418
1594c1996
hex653f796

106166166 has 16 divisors (see below), whose sum is σ = 212504688. Its totient is φ = 35360000.

The previous prime is 106166141. The next prime is 106166171. The reversal of 106166166 is 661661601.

It is a super-2 number, since 2×1061661662 = 22542509606279112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1666 + ... + 14666.

It is an arithmetic number, because the mean of its divisors is an integer number (13281543).

Almost surely, 2106166166 is an apocalyptic number.

106166166 is an abundant number, since it is smaller than the sum of its proper divisors (106338522).

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

106166166 is a wasteful number, since it uses less digits than its factorization.

106166166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14367.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 106166166 is about 10303.6967152571. The cubic root of 106166166 is about 473.5095159562.

The spelling of 106166166 in words is "one hundred six million, one hundred sixty-six thousand, one hundred sixty-six".

Divisors: 1 2 3 6 1361 2722 4083 8166 13001 26002 39003 78006 17694361 35388722 53083083 106166166