Search a number
-
+
106516049 is a prime number
BaseRepresentation
bin1100101100101…
…00111001010001
321102102120112212
412112110321101
5204232003144
614323001505
72432241263
oct626247121
9242376485
10106516049
11551420a2
122b809295
13190b5663
1410209b33
15954049e
hex6594e51

106516049 has 2 divisors, whose sum is σ = 106516050. Its totient is φ = 106516048.

The previous prime is 106516037. The next prime is 106516087. The reversal of 106516049 is 940615601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 58629649 + 47886400 = 7657^2 + 6920^2 .

It is a cyclic number.

It is not a de Polignac number, because 106516049 - 28 = 106515793 is a prime.

It is a super-2 number, since 2×1065160492 = 22691337389140802, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106516019) 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, 53258024 + 53258025.

It is an arithmetic number, because the mean of its divisors is an integer number (53258025).

Almost surely, 2106516049 is an apocalyptic number.

It is an amenable number.

106516049 is a deficient number, since it is larger than the sum of its proper divisors (1).

106516049 is an equidigital number, since it uses as much as digits as its factorization.

106516049 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 106516049 is about 10320.6612675739. The cubic root of 106516049 is about 474.0291142128.

The spelling of 106516049 in words is "one hundred six million, five hundred sixteen thousand, forty-nine".