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106817106945097 is a prime number
BaseRepresentation
bin11000010010011001001011…
…101101110010010001001001
3112000012121121211201200011201
4120102121023231302101021
5103000042413334220342
61015103033531224201
731333165326116113
oct3022311355622111
9460177554650151
10106817106945097
113104297617737a
12bb91a54ba8061
13477aa6b64b513
141c53d92d243b3
15c538587e8db7
hex61264bb72449

106817106945097 has 2 divisors, whose sum is σ = 106817106945098. Its totient is φ = 106817106945096.

The previous prime is 106817106945019. The next prime is 106817106945119. The reversal of 106817106945097 is 790549601718601.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78363374631481 + 28453732313616 = 8852309^2 + 5334204^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106817106945097 is a prime.

It is a super-2 number, since 2×1068171069450972 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106817106940097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53408553472548 + 53408553472549.

It is an arithmetic number, because the mean of its divisors is an integer number (53408553472549).

Almost surely, 2106817106945097 is an apocalyptic number.

It is an amenable number.

106817106945097 is a deficient number, since it is larger than the sum of its proper divisors (1).

106817106945097 is an equidigital number, since it uses as much as digits as its factorization.

106817106945097 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 22861440, while the sum is 64.

The spelling of 106817106945097 in words is "one hundred six trillion, eight hundred seventeen billion, one hundred six million, nine hundred forty-five thousand, ninety-seven".