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106986129737 is a prime number
BaseRepresentation
bin110001110100011011…
…1101100100101001001
3101020011001021111121112
41203220313230211021
53223101422122422
6121052044020105
710505134045454
oct1435067544511
9336131244545
10106986129737
1141410976843
1218899531635
13a11cc9a316
14526cc0a49b
152bb2713ee2
hex18e8dec949

106986129737 has 2 divisors, whose sum is σ = 106986129738. Its totient is φ = 106986129736.

The previous prime is 106986129721. The next prime is 106986129739. The reversal of 106986129737 is 737921689601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104625724681 + 2360405056 = 323459^2 + 48584^2 .

It is a cyclic number.

It is not a de Polignac number, because 106986129737 - 24 = 106986129721 is a prime.

It is a super-2 number, since 2×1069861297372 (a number of 23 digits) contains 22 as substring.

Together with 106986129739, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106986129739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53493064868 + 53493064869.

It is an arithmetic number, because the mean of its divisors is an integer number (53493064869).

Almost surely, 2106986129737 is an apocalyptic number.

It is an amenable number.

106986129737 is a deficient number, since it is larger than the sum of its proper divisors (1).

106986129737 is an equidigital number, since it uses as much as digits as its factorization.

106986129737 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6858432, while the sum is 59.

The spelling of 106986129737 in words is "one hundred six billion, nine hundred eighty-six million, one hundred twenty-nine thousand, seven hundred thirty-seven".