Search a number
-
+
106814069 is a prime number
BaseRepresentation
bin1100101110111…
…01101001110101
321102222201100122
412113131221311
5204321022234
614333221325
72434622165
oct627355165
9242881318
10106814069
1155325a9a
122b931845
131918b1bb
14102865a5
15959d92e
hex65dda75

106814069 has 2 divisors, whose sum is σ = 106814070. Its totient is φ = 106814068.

The previous prime is 106814039. The next prime is 106814087. The reversal of 106814069 is 960418601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81180100 + 25633969 = 9010^2 + 5063^2 .

It is an emirp because it is prime and its reverse (960418601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106814069 - 220 = 105765493 is a prime.

It is a super-2 number, since 2×1068140692 = 22818490672673522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106814039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53407034 + 53407035.

It is an arithmetic number, because the mean of its divisors is an integer number (53407035).

Almost surely, 2106814069 is an apocalyptic number.

It is an amenable number.

106814069 is a deficient number, since it is larger than the sum of its proper divisors (1).

106814069 is an equidigital number, since it uses as much as digits as its factorization.

106814069 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 10368, while the sum is 35.

The square root of 106814069 is about 10335.0892110325. The cubic root of 106814069 is about 474.4707960365.

The spelling of 106814069 in words is "one hundred six million, eight hundred fourteen thousand, sixty-nine".