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105336207 = 342944843
BaseRepresentation
bin1100100011101…
…00110110001111
321100012122010000
412101310312033
5203431224312
614241415343
72416225434
oct621646617
9240178100
10105336207
1154506719
122b33a553
1318a91622
14ddbdb8b
1593aaadc
hex6474d8f

105336207 has 20 divisors (see below), whose sum is σ = 162783720. Its totient is φ = 67801104.

The previous prime is 105336193. The next prime is 105336211. The reversal of 105336207 is 702633501.

It is a happy number.

105336207 is a `hidden beast` number, since 1 + 0 + 5 + 33 + 620 + 7 = 666.

It is not a de Polignac number, because 105336207 - 215 = 105303439 is a prime.

It is a super-2 number, since 2×1053362072 = 22191433010293698, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105331207) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 20073 + ... + 24770.

It is an arithmetic number, because the mean of its divisors is an integer number (8139186).

Almost surely, 2105336207 is an apocalyptic number.

105336207 is a deficient number, since it is larger than the sum of its proper divisors (57447513).

105336207 is an equidigital number, since it uses as much as digits as its factorization.

105336207 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44884 (or 44875 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 105336207 is about 10263.3428764706. The cubic root of 105336207 is about 472.2723922664.

Adding to 105336207 its reverse (702633501), we get a palindrome (807969708).

The spelling of 105336207 in words is "one hundred five million, three hundred thirty-six thousand, two hundred seven".

Divisors: 1 3 9 27 29 81 87 261 783 2349 44843 134529 403587 1210761 1300447 3632283 3901341 11704023 35112069 105336207