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106823359 = 1741279
BaseRepresentation
bin1100101110111…
…11111010111111
321110000012002201
412113133322333
5204321321414
614333332331
72434661236
oct627377277
9243005081
10106823359
1155331a75
122b9370a7
13191924b6
1410289b1d
1595a1574
hex65dfebf

106823359 has 10 divisors (see below), whose sum is σ = 113588480. Its totient is φ = 100461024.

The previous prime is 106823333. The next prime is 106823363. The reversal of 106823359 is 953328601.

It is not a de Polignac number, because 106823359 - 213 = 106815167 is a prime.

It is a super-3 number, since 3×1068233593 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106823369) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 82882 + ... + 84160.

It is an arithmetic number, because the mean of its divisors is an integer number (11358848).

Almost surely, 2106823359 is an apocalyptic number.

106823359 is a deficient number, since it is larger than the sum of its proper divisors (6765121).

106823359 is an frugal number, since it uses more digits than its factorization.

106823359 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1347 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 106823359 is about 10335.5386410192. The cubic root of 106823359 is about 474.4845511094.

It can be divided in two parts, 10682 and 3359, that added together give a palindrome (14041).

The spelling of 106823359 in words is "one hundred six million, eight hundred twenty-three thousand, three hundred fifty-nine".

Divisors: 1 17 289 1279 4913 21743 83521 369631 6283727 106823359