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107427105 = 3252387269
BaseRepresentation
bin1100110011100…
…11010100100001
321111010212021200
412121303110201
5210000131410
614354311413
72443054362
oct631632441
9244125250
10107427105
1155704635
122bb88569
1319344246
14103a5b69
1596703c0
hex6673521

107427105 has 12 divisors (see below), whose sum is σ = 186207060. Its totient is φ = 57294432.

The previous prime is 107427091. The next prime is 107427109. The reversal of 107427105 is 501724701.

It can be written as a sum of positive squares in 2 ways, for example, as 24088464 + 83338641 = 4908^2 + 9129^2 .

It is not a de Polignac number, because 107427105 - 28 = 107426849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (107427109) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1193590 + ... + 1193679.

It is an arithmetic number, because the mean of its divisors is an integer number (15517255).

Almost surely, 2107427105 is an apocalyptic number.

107427105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

107427105 is a deficient number, since it is larger than the sum of its proper divisors (78779955).

107427105 is a wasteful number, since it uses less digits than its factorization.

107427105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2387280 (or 2387277 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 107427105 is about 10364.7047714829. The cubic root of 107427105 is about 475.3767721624.

The spelling of 107427105 in words is "one hundred seven million, four hundred twenty-seven thousand, one hundred five".

Divisors: 1 3 5 9 15 45 2387269 7161807 11936345 21485421 35809035 107427105