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106809273 = 341318633
BaseRepresentation
bin1100101110111…
…00011110111001
321102222110210000
412113130132321
5204320344043
614333143213
72434602204
oct627343671
9242873700
10106809273
115532242a
122b92ab09
1319188c6c
141028493b
15959c2d3
hex65dc7b9

106809273 has 10 divisors (see below), whose sum is σ = 159554714. Its totient is φ = 71206128.

The previous prime is 106809271. The next prime is 106809281. The reversal of 106809273 is 372908601.

It can be written as a sum of positive squares in only one way, i.e., 106750224 + 59049 = 10332^2 + 243^2 .

It is not a de Polignac number, because 106809273 - 21 = 106809271 is a prime.

It is a super-2 number, since 2×1068092732 = 22816441597577058, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106809271) 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 9 ways as a sum of consecutive naturals, for example, 659236 + ... + 659397.

Almost surely, 2106809273 is an apocalyptic number.

It is an amenable number.

106809273 is a deficient number, since it is larger than the sum of its proper divisors (52745441).

106809273 is an equidigital number, since it uses as much as digits as its factorization.

106809273 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318645 (or 1318636 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 106809273 is about 10334.8571833383. The cubic root of 106809273 is about 474.4636946125.

The spelling of 106809273 in words is "one hundred six million, eight hundred nine thousand, two hundred seventy-three".

Divisors: 1 3 9 27 81 1318633 3955899 11867697 35603091 106809273