Search a number
-
+
106776689 is a prime number
BaseRepresentation
bin1100101110101…
…00100001110001
321102220211002012
412113110201301
5204313323224
614332332305
72434405205
oct627244161
9242824065
10106776689
11552aa9a8
122b914095
1319177196
1410276b05
15959280e
hex65d4871

106776689 has 2 divisors, whose sum is σ = 106776690. Its totient is φ = 106776688.

The previous prime is 106776673. The next prime is 106776707. The reversal of 106776689 is 986677601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104550625 + 2226064 = 10225^2 + 1492^2 .

It is a cyclic number.

It is not a de Polignac number, because 106776689 - 24 = 106776673 is a prime.

It is a super-2 number, since 2×1067766892 = 22802522627605442, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106776619) 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, 53388344 + 53388345.

It is an arithmetic number, because the mean of its divisors is an integer number (53388345).

Almost surely, 2106776689 is an apocalyptic number.

It is an amenable number.

106776689 is a deficient number, since it is larger than the sum of its proper divisors (1).

106776689 is an equidigital number, since it uses as much as digits as its factorization.

106776689 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 762048, while the sum is 50.

The square root of 106776689 is about 10333.2806504033. The cubic root of 106776689 is about 474.4154419437.

The spelling of 106776689 in words is "one hundred six million, seven hundred seventy-six thousand, six hundred eighty-nine".