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106186505 = 5172395227
BaseRepresentation
bin1100101010001…
…00011100001001
321101210211111112
412111010130021
5204140432010
614311540105
72426366435
oct625043411
9241724445
10106186505
1154a37547
122b68a635
1318ccb669
14101619c5
1594c7a05
hex6544709

106186505 has 16 divisors (see below), whose sum is σ = 135509760. Its totient is φ = 79602432.

The previous prime is 106186499. The next prime is 106186517. The reversal of 106186505 is 505681601.

It is a happy number.

It is not a de Polignac number, because 106186505 - 214 = 106170121 is a prime.

It is a super-2 number, since 2×1061865052 = 22551147688230050, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17702 + ... + 22928.

It is an arithmetic number, because the mean of its divisors is an integer number (8469360).

Almost surely, 2106186505 is an apocalyptic number.

It is an amenable number.

106186505 is a deficient number, since it is larger than the sum of its proper divisors (29323255).

106186505 is a wasteful number, since it uses less digits than its factorization.

106186505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5488.

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 106186505 is about 10304.6836438583. The cubic root of 106186505 is about 473.5397518762.

The spelling of 106186505 in words is "one hundred six million, one hundred eighty-six thousand, five hundred five".

Divisors: 1 5 17 85 239 1195 4063 5227 20315 26135 88859 444295 1249253 6246265 21237301 106186505