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106110105 = 358385229
BaseRepresentation
bin1100101001100…
…01110010011001
321101122221200220
412110301302121
5204131010410
614310150253
72425630623
oct624616231
9241587626
10106110105
1154995102
122b652389
1318ca295a
1410141c13
1594b0070
hex6531c99

106110105 has 16 divisors (see below), whose sum is σ = 171823680. Its totient is φ = 55909568.

The previous prime is 106110097. The next prime is 106110119. The reversal of 106110105 is 501011601.

It is a cyclic number.

It is not a de Polignac number, because 106110105 - 23 = 106110097 is a prime.

It is a super-2 number, since 2×1061101052 = 22518708766222050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41370 + ... + 43859.

It is an arithmetic number, because the mean of its divisors is an integer number (10738980).

Almost surely, 2106110105 is an apocalyptic number.

106110105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106110105 is a deficient number, since it is larger than the sum of its proper divisors (65713575).

106110105 is an equidigital number, since it uses as much as digits as its factorization.

106110105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85320.

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 106110105 is about 10300.9759246394. The cubic root of 106110105 is about 473.4261557804.

Adding to 106110105 its reverse (501011601), we get a palindrome (607121706).

The spelling of 106110105 in words is "one hundred six million, one hundred ten thousand, one hundred five".

Divisors: 1 3 5 15 83 249 415 1245 85229 255687 426145 1278435 7074007 21222021 35370035 106110105