Is 164106013 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 164 106 013 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 164 106 013, the only two divisors are 1 and 164 106 013. Therefore 164 106 013 is a prime number.
As a consequence, 164 106 013 is only a multiple of 1 and 164 106 013.
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Since 164106013 is a prime number, 164106013 is also a deficient number, that is to say 164106013 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 164106013 without 164106013 itself (that is 1, by definition!).