Search a number
-
+
106605649 is a prime number
BaseRepresentation
bin1100101101010…
…10110001010001
321102121010110101
412112222301101
5204242340044
614324532401
72433063433
oct626526121
9242533411
10106605649
11551a3447
122b851101
1319117387
1410230653
15955bcd4
hex65aac51

106605649 has 2 divisors, whose sum is σ = 106605650. Its totient is φ = 106605648.

The previous prime is 106605641. The next prime is 106605661. The reversal of 106605649 is 946506601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 75603025 + 31002624 = 8695^2 + 5568^2 .

It is a cyclic number.

It is not a de Polignac number, because 106605649 - 23 = 106605641 is a prime.

It is a super-2 number, since 2×1066056492 = 22729528797422402, which contains 22 as substring.

It is a Chen prime.

It is equal to p6119569 and since 106605649 and 6119569 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (106605641) 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, 53302824 + 53302825.

It is an arithmetic number, because the mean of its divisors is an integer number (53302825).

Almost surely, 2106605649 is an apocalyptic number.

It is an amenable number.

106605649 is a deficient number, since it is larger than the sum of its proper divisors (1).

106605649 is an equidigital number, since it uses as much as digits as its factorization.

106605649 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 106605649 is about 10325.0011622275. The cubic root of 106605649 is about 474.1619927957.

The spelling of 106605649 in words is "one hundred six million, six hundred five thousand, six hundred forty-nine".