Search a number
-
+
106681823 is a prime number
BaseRepresentation
bin1100101101111…
…01010111011111
321102201222221122
412112331113133
5204302304243
614330321155
72433531503
oct626752737
9242658848
10106681823
11552456a6
122b8891bb
1319142c51
1410250303
159574668
hex65bd5df

106681823 has 2 divisors, whose sum is σ = 106681824. Its totient is φ = 106681822.

The previous prime is 106681801. The next prime is 106681847. The reversal of 106681823 is 328186601.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 106681823 - 26 = 106681759 is a prime.

It is a super-2 number, since 2×1066818232 = 22762022717206658, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106681423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53340911 + 53340912.

It is an arithmetic number, because the mean of its divisors is an integer number (53340912).

Almost surely, 2106681823 is an apocalyptic number.

106681823 is a deficient number, since it is larger than the sum of its proper divisors (1).

106681823 is an equidigital number, since it uses as much as digits as its factorization.

106681823 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 106681823 is about 10328.6893166558. The cubic root of 106681823 is about 474.2749018101.

The spelling of 106681823 in words is "one hundred six million, six hundred eighty-one thousand, eight hundred twenty-three".