Search a number
-
+
106120649 is a prime number
BaseRepresentation
bin1100101001101…
…00010111001001
321101200111011102
412110310113021
5204131330044
614310311145
72426003435
oct624642711
9241614142
10106120649
11549a2018
122b6584b5
1318ca76ab
14101459c5
1594b324e
hex65345c9

106120649 has 2 divisors, whose sum is σ = 106120650. Its totient is φ = 106120648.

The previous prime is 106120627. The next prime is 106120667. The reversal of 106120649 is 946021601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87759424 + 18361225 = 9368^2 + 4285^2 .

It is a cyclic number.

It is not a de Polignac number, because 106120649 - 28 = 106120393 is a prime.

It is a super-2 number, since 2×1061206492 = 22523184288362402, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (106120249) 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, 53060324 + 53060325.

It is an arithmetic number, because the mean of its divisors is an integer number (53060325).

Almost surely, 2106120649 is an apocalyptic number.

It is an amenable number.

106120649 is a deficient number, since it is larger than the sum of its proper divisors (1).

106120649 is an equidigital number, since it uses as much as digits as its factorization.

106120649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 106120649 is about 10301.4877080934. The cubic root of 106120649 is about 473.4418364738.

The spelling of 106120649 in words is "one hundred six million, one hundred twenty thousand, six hundred forty-nine".