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105321341 = 1714094397
BaseRepresentation
bin1100100011100…
…01001101111101
321100011212201102
412101301031331
5203430240331
614241222445
72416134206
oct621611575
9240155642
10105321341
11544a6534
122b331a25
1318a87928
14ddb85ad
1593a64cb
hex647137d

105321341 has 8 divisors (see below), whose sum is σ = 111621240. Its totient is φ = 99033088.

The previous prime is 105321287. The next prime is 105321367. The reversal of 105321341 is 143123501.

It can be written as a sum of positive squares in 4 ways, for example, as 3916441 + 101404900 = 1979^2 + 10070^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 105321341 - 210 = 105320317 is a prime.

It is a super-2 number, since 2×1053213412 = 22185169740076562, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105321371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21755 + ... + 26151.

It is an arithmetic number, because the mean of its divisors is an integer number (13952655).

Almost surely, 2105321341 is an apocalyptic number.

It is an amenable number.

105321341 is a deficient number, since it is larger than the sum of its proper divisors (6299899).

105321341 is a wasteful number, since it uses less digits than its factorization.

105321341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5823.

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 105321341 is about 10262.6186229441. The cubic root of 105321341 is about 472.2501741014.

Adding to 105321341 its reverse (143123501), we get a palindrome (248444842).

The spelling of 105321341 in words is "one hundred five million, three hundred twenty-one thousand, three hundred forty-one".

Divisors: 1 17 1409 4397 23953 74749 6195373 105321341