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106515317 is a prime number
BaseRepresentation
bin1100101100101…
…00101101110101
321102102112112202
412112110231311
5204231442232
614322554245
72432236166
oct626245565
9242375482
10106515317
1155141597
122b808985
13190b521c
141020976d
159540162
hex6594b75

106515317 has 2 divisors, whose sum is σ = 106515318. Its totient is φ = 106515316.

The previous prime is 106515313. The next prime is 106515337. The reversal of 106515317 is 713515601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105657841 + 857476 = 10279^2 + 926^2 .

It is a cyclic number.

It is not a de Polignac number, because 106515317 - 22 = 106515313 is a prime.

It is a super-2 number, since 2×1065153172 = 22691025511220978, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106515317.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106515313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53257658 + 53257659.

It is an arithmetic number, because the mean of its divisors is an integer number (53257659).

Almost surely, 2106515317 is an apocalyptic number.

It is an amenable number.

106515317 is a deficient number, since it is larger than the sum of its proper divisors (1).

106515317 is an equidigital number, since it uses as much as digits as its factorization.

106515317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3150, while the sum is 29.

The square root of 106515317 is about 10320.6258046690. The cubic root of 106515317 is about 474.0280283354.

The spelling of 106515317 in words is "one hundred six million, five hundred fifteen thousand, three hundred seventeen".