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106068487061 is a prime number
BaseRepresentation
bin110001011001000101…
…1001010101110010101
3101010210002120102111202
41202302023022232111
53214212013041221
6120421023442245
710443322156415
oct1426213125625
9333702512452
10106068487061
1140a8a994269
1218682156385
13a004b374a4
1451c2dba645
152b5bd9ed0b
hex18b22cab95

106068487061 has 2 divisors, whose sum is σ = 106068487062. Its totient is φ = 106068487060.

The previous prime is 106068487051. The next prime is 106068487081. The reversal of 106068487061 is 160784860601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 70726743025 + 35341744036 = 265945^2 + 187994^2 .

It is a cyclic number.

It is not a de Polignac number, because 106068487061 - 210 = 106068486037 is a prime.

It is a super-3 number, since 3×1060684870613 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106068486997 and 106068487015.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106068487051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53034243530 + 53034243531.

It is an arithmetic number, because the mean of its divisors is an integer number (53034243531).

Almost surely, 2106068487061 is an apocalyptic number.

It is an amenable number.

106068487061 is a deficient number, since it is larger than the sum of its proper divisors (1).

106068487061 is an equidigital number, since it uses as much as digits as its factorization.

106068487061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 387072, while the sum is 47.

The spelling of 106068487061 in words is "one hundred six billion, sixty-eight million, four hundred eighty-seven thousand, sixty-one".