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105795845 = 5171936449
BaseRepresentation
bin1100100111001…
…01000100000101
321101001222121122
412103211010011
5204040431340
614255323325
72423151461
oct623450405
9241058548
10105795845
115479aa91
122b520545
1318bc28bc
141009d4a1
15944bdb5
hex64e5105

105795845 has 16 divisors (see below), whose sum is σ = 135140400. Its totient is φ = 79233024.

The previous prime is 105795829. The next prime is 105795869. The reversal of 105795845 is 548597501.

It can be written as a sum of positive squares in 8 ways, for example, as 6315169 + 99480676 = 2513^2 + 9974^2 .

It is a cyclic number.

It is not a de Polignac number, because 105795845 - 24 = 105795829 is a prime.

It is a super-2 number, since 2×1057958452 = 22385521638528050, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105795796 and 105795805.

It is a congruent 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, 13181 + ... + 19629.

It is an arithmetic number, because the mean of its divisors is an integer number (8446275).

Almost surely, 2105795845 is an apocalyptic number.

It is an amenable number.

105795845 is a deficient number, since it is larger than the sum of its proper divisors (29344555).

105795845 is a wasteful number, since it uses less digits than its factorization.

105795845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6664.

The product of its (nonzero) digits is 252000, while the sum is 44.

The square root of 105795845 is about 10285.7107192454. The cubic root of 105795845 is about 472.9583209077.

The spelling of 105795845 in words is "one hundred five million, seven hundred ninety-five thousand, eight hundred forty-five".

Divisors: 1 5 17 85 193 965 3281 6449 16405 32245 109633 548165 1244657 6223285 21159169 105795845