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105305334 = 23198997107
BaseRepresentation
bin1100100011011…
…01010011110110
321100011001202120
412101231103312
5203424232314
614241020410
72416036431
oct621552366
9240131676
10105305334
1154495502
122b324706
1318a80564
14ddb2818
1593a18a9
hex646d4f6

105305334 has 64 divisors (see below), whose sum is σ = 228614400. Its totient is φ = 32237568.

The previous prime is 105305297. The next prime is 105305363. The reversal of 105305334 is 433503501.

It is a happy number.

It is a super-2 number, since 2×1053053342 = 22178426737703112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 984109 + ... + 984215.

It is an arithmetic number, because the mean of its divisors is an integer number (3572100).

Almost surely, 2105305334 is an apocalyptic number.

105305334 is an abundant number, since it is smaller than the sum of its proper divisors (123309066).

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

105305334 is a wasteful number, since it uses less digits than its factorization.

105305334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317.

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 105305334 is about 10261.8387241274. The cubic root of 105305334 is about 472.2262483030.

Adding to 105305334 its reverse (433503501), we get a palindrome (538808835).

The spelling of 105305334 in words is "one hundred five million, three hundred five thousand, three hundred thirty-four".

Divisors: 1 2 3 6 19 38 57 89 97 107 114 178 194 214 267 291 321 534 582 642 1691 1843 2033 3382 3686 4066 5073 5529 6099 8633 9523 10146 10379 11058 12198 17266 19046 20758 25899 28569 31137 51798 57138 62274 164027 180937 197201 328054 361874 394402 492081 542811 591603 923731 984162 1085622 1183206 1847462 2771193 5542386 17550889 35101778 52652667 105305334