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106323313 is a prime number
BaseRepresentation
bin1100101011001…
…01110101110001
321102001210011111
412111211311301
5204204321223
614314513321
72430506335
oct625456561
9242053144
10106323313
1155020308
122b735841
1319048a05
14101997c5
15950330d
hex6565d71

106323313 has 2 divisors, whose sum is σ = 106323314. Its totient is φ = 106323312.

The previous prime is 106323307. The next prime is 106323331. The reversal of 106323313 is 313323601.

Together with next prime (106323331) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 102758769 + 3564544 = 10137^2 + 1888^2 .

It is an emirp because it is prime and its reverse (313323601) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106323313 is a prime.

It is a super-2 number, since 2×1063233132 = 22609293774591938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106323013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53161656 + 53161657.

It is an arithmetic number, because the mean of its divisors is an integer number (53161657).

Almost surely, 2106323313 is an apocalyptic number.

It is an amenable number.

106323313 is a deficient number, since it is larger than the sum of its proper divisors (1).

106323313 is an equidigital number, since it uses as much as digits as its factorization.

106323313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 22.

The square root of 106323313 is about 10311.3196536622. The cubic root of 106323313 is about 473.7430301372.

Adding to 106323313 its reverse (313323601), we get a palindrome (419646914).

The spelling of 106323313 in words is "one hundred six million, three hundred twenty-three thousand, three hundred thirteen".