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105335327 = 5389137163
BaseRepresentation
bin1100100011101…
…00101000011111
321100012120220102
412101310220133
5203431212302
614241411315
72416223036
oct621645037
9240176812
10105335327
1154505a99
122b339b3b
1318a910c6
14ddbd71d
1593aa702
hex6474a1f

105335327 has 16 divisors (see below), whose sum is σ = 109991520. Its totient is φ = 100818432.

The previous prime is 105335317. The next prime is 105335333. The reversal of 105335327 is 723533501.

It is a cyclic number.

It is not a de Polignac number, because 105335327 - 28 = 105335071 is a prime.

It is a super-2 number, since 2×1053353272 = 22191062228393858, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105335327.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105335317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 646148 + ... + 646310.

It is an arithmetic number, because the mean of its divisors is an integer number (6874470).

Almost surely, 2105335327 is an apocalyptic number.

105335327 is a deficient number, since it is larger than the sum of its proper divisors (4656193).

105335327 is a wasteful number, since it uses less digits than its factorization.

105335327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442.

The product of its (nonzero) digits is 9450, while the sum is 29.

The square root of 105335327 is about 10263.3000053589. The cubic root of 105335327 is about 472.2710771097.

Adding to 105335327 its reverse (723533501), we get a palindrome (828868828).

The spelling of 105335327 in words is "one hundred five million, three hundred thirty-five thousand, three hundred twenty-seven".

Divisors: 1 53 89 137 163 4717 7261 8639 12193 14507 22331 646229 768871 1183543 1987459 105335327