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106318613 is a prime number
BaseRepresentation
bin1100101011001…
…00101100010101
321102001112201102
412111210230111
5204204143423
614314435445
72430456542
oct625445425
9242045642
10106318613
1155017825
122b732b85
131904682b
1410197bc9
159501c28
hex6564b15

106318613 has 2 divisors, whose sum is σ = 106318614. Its totient is φ = 106318612.

The previous prime is 106318529. The next prime is 106318631. The reversal of 106318613 is 316813601.

Together with next prime (106318631) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101747569 + 4571044 = 10087^2 + 2138^2 .

It is a cyclic number.

It is not a de Polignac number, because 106318613 - 218 = 106056469 is a prime.

It is a super-2 number, since 2×1063186132 = 22607294940487538, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106318643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53159306 + 53159307.

It is an arithmetic number, because the mean of its divisors is an integer number (53159307).

Almost surely, 2106318613 is an apocalyptic number.

It is an amenable number.

106318613 is a deficient number, since it is larger than the sum of its proper divisors (1).

106318613 is an equidigital number, since it uses as much as digits as its factorization.

106318613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 106318613 is about 10311.0917462701. The cubic root of 106318613 is about 473.7360494635.

The spelling of 106318613 in words is "one hundred six million, three hundred eighteen thousand, six hundred thirteen".