Search a number
-
+
106506161 is a prime number
BaseRepresentation
bin1100101100100…
…10011110110001
321102102001222122
412112102132301
5204231144121
614322444025
72432200406
oct626223661
9242361878
10106506161
1155135723
122b803615
13190b0cc8
14102062ad
15953c5ab
hex65927b1

106506161 has 2 divisors, whose sum is σ = 106506162. Its totient is φ = 106506160.

The previous prime is 106506157. The next prime is 106506163. The reversal of 106506161 is 161605601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103408561 + 3097600 = 10169^2 + 1760^2 .

It is a cyclic number.

It is not a de Polignac number, because 106506161 - 22 = 106506157 is a prime.

It is a super-2 number, since 2×1065061612 = 22687124661915842, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 106506163, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106506161.

It is not a weakly prime, because it can be changed into another prime (106506163) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53253080 + 53253081.

It is an arithmetic number, because the mean of its divisors is an integer number (53253081).

Almost surely, 2106506161 is an apocalyptic number.

It is an amenable number.

106506161 is a deficient number, since it is larger than the sum of its proper divisors (1).

106506161 is an equidigital number, since it uses as much as digits as its factorization.

106506161 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 106506161 is about 10320.1822173836. The cubic root of 106506161 is about 474.0144455472.

The spelling of 106506161 in words is "one hundred six million, five hundred six thousand, one hundred sixty-one".