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106643205 = 3252369849
BaseRepresentation
bin1100101101100…
…11111100000101
321102200000222100
412112303330011
5204300040310
614325422313
72433311064
oct626637405
9242600870
10106643205
1155219689
122b86a999
131912b4b6
14102401db
159567ec0
hex65b3f05

106643205 has 12 divisors (see below), whose sum is σ = 184848300. Its totient is φ = 56876352.

The previous prime is 106643191. The next prime is 106643221. The reversal of 106643205 is 502346601.

106643205 is a `hidden beast` number, since 10 + 6 + 643 + 2 + 0 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47568609 + 59074596 = 6897^2 + 7686^2 .

It is not a de Polignac number, because 106643205 - 27 = 106643077 is a prime.

It is a super-2 number, since 2×1066432052 = 22745546345344050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1184880 + ... + 1184969.

It is an arithmetic number, because the mean of its divisors is an integer number (15404025).

Almost surely, 2106643205 is an apocalyptic number.

106643205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106643205 is a deficient number, since it is larger than the sum of its proper divisors (78205095).

106643205 is a wasteful number, since it uses less digits than its factorization.

106643205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2369860 (or 2369857 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106643205 is about 10326.8196943686. The cubic root of 106643205 is about 474.2176669469.

Adding to 106643205 its reverse (502346601), we get a palindrome (608989806).

The spelling of 106643205 in words is "one hundred six million, six hundred forty-three thousand, two hundred five".

Divisors: 1 3 5 9 15 45 2369849 7109547 11849245 21328641 35547735 106643205