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106812339 = 3411038431
BaseRepresentation
bin1100101110111…
…01001110110011
321102222121222120
412113131032303
5204320443324
614333205323
72434614144
oct627351663
9242877876
10106812339
1155324767
122b930843
131918a48a
1410285acb
15959d179
hex65dd3b3

106812339 has 16 divisors (see below), whose sum is σ = 147323904. Its totient is φ = 68788800.

The previous prime is 106812337. The next prime is 106812347. The reversal of 106812339 is 933218601.

It is not a de Polignac number, because 106812339 - 21 = 106812337 is a prime.

It is a super-2 number, since 2×1068123392 = 22817751525301842, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106812337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8454 + ... + 16884.

It is an arithmetic number, because the mean of its divisors is an integer number (9207744).

Almost surely, 2106812339 is an apocalyptic number.

106812339 is a deficient number, since it is larger than the sum of its proper divisors (40511565).

106812339 is a wasteful number, since it uses less digits than its factorization.

106812339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8578.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 106812339 is about 10335.0055152380. The cubic root of 106812339 is about 474.4682344548.

The spelling of 106812339 in words is "one hundred six million, eight hundred twelve thousand, three hundred thirty-nine".

Divisors: 1 3 41 103 123 309 4223 8431 12669 25293 345671 868393 1037013 2605179 35604113 106812339