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106913309 is a prime number
BaseRepresentation
bin1100101111101…
…01111000011101
321110011202111012
412113311320131
5204332211214
614335305005
72435514416
oct627657035
9243152435
10106913309
1155393608
122b97b165
13191c4419
14102b080d
1595bd03e
hex65f5e1d

106913309 has 2 divisors, whose sum is σ = 106913310. Its totient is φ = 106913308.

The previous prime is 106913273. The next prime is 106913333. The reversal of 106913309 is 903319601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101404900 + 5508409 = 10070^2 + 2347^2 .

It is an emirp because it is prime and its reverse (903319601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106913309 - 212 = 106909213 is a prime.

It is a super-2 number, since 2×1069133092 = 22860911282658962, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106913509) 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 as a sum of consecutive naturals, namely, 53456654 + 53456655.

It is an arithmetic number, because the mean of its divisors is an integer number (53456655).

Almost surely, 2106913309 is an apocalyptic number.

It is an amenable number.

106913309 is a deficient number, since it is larger than the sum of its proper divisors (1).

106913309 is an equidigital number, since it uses as much as digits as its factorization.

106913309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4374, while the sum is 32.

The square root of 106913309 is about 10339.8892160410. The cubic root of 106913309 is about 474.6176927491.

The spelling of 106913309 in words is "one hundred six million, nine hundred thirteen thousand, three hundred nine".