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105800106 = 2317633351
BaseRepresentation
bin1100100111001…
…10000110101010
321101002012110110
412103212012222
5204041100411
614255355150
72423200056
oct623460652
9241065413
10105800106
11547a3205
122b522ab6
1318bc4819
14100a0c66
15944d2a6
hex64e61aa

105800106 has 8 divisors (see below), whose sum is σ = 211600224. Its totient is φ = 35266700.

The previous prime is 105800089. The next prime is 105800119. The reversal of 105800106 is 601008501.

It is a sphenic number, since it is the product of 3 distinct primes.

105800106 is an admirable number.

It is a super-2 number, since 2×1058001062 = 22387324859222472, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 8816670 + ... + 8816681.

It is an arithmetic number, because the mean of its divisors is an integer number (26450028).

Almost surely, 2105800106 is an apocalyptic number.

105800106 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105800106 is a wasteful number, since it uses less digits than its factorization.

105800106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17633356.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 105800106 is about 10285.9178491761. The cubic root of 105800106 is about 472.9646703957.

Adding to 105800106 its reverse (601008501), we get a palindrome (706808607).

The spelling of 105800106 in words is "one hundred five million, eight hundred thousand, one hundred six".

Divisors: 1 2 3 6 17633351 35266702 52900053 105800106