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106224769837 is a prime number
BaseRepresentation
bin110001011101101111…
…1010101101100101101
3101011011222122102011201
41202323133111230231
53220022020113322
6120444325245501
710450230434344
oct1427337255455
9334158572151
10106224769837
114106012788a
1218706563891
13a02b325cc4
1451d9a5cb5b
152b6a970d27
hex18bb7d5b2d

106224769837 has 2 divisors, whose sum is σ = 106224769838. Its totient is φ = 106224769836.

The previous prime is 106224769829. The next prime is 106224769867. The reversal of 106224769837 is 738967422601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 106175615716 + 49154121 = 325846^2 + 7011^2 .

It is a cyclic number.

It is not a de Polignac number, because 106224769837 - 23 = 106224769829 is a prime.

It is a super-2 number, since 2×1062247698372 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106224769867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53112384918 + 53112384919.

It is an arithmetic number, because the mean of its divisors is an integer number (53112384919).

Almost surely, 2106224769837 is an apocalyptic number.

It is an amenable number.

106224769837 is a deficient number, since it is larger than the sum of its proper divisors (1).

106224769837 is an equidigital number, since it uses as much as digits as its factorization.

106224769837 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6096384, while the sum is 55.

The spelling of 106224769837 in words is "one hundred six billion, two hundred twenty-four million, seven hundred sixty-nine thousand, eight hundred thirty-seven".