Search a number
-
+
105018449 is a prime number
BaseRepresentation
bin1100100001001…
…11010001010001
321022121111020012
412100213101101
5203341042244
614230524305
72413433144
oct620472121
9238544205
10105018449
1154309a08
122b206695
13189acac3
14dd3a05b
15934689e
hex6427451

105018449 has 2 divisors, whose sum is σ = 105018450. Its totient is φ = 105018448.

The previous prime is 105018383. The next prime is 105018499. The reversal of 105018449 is 944810501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72982849 + 32035600 = 8543^2 + 5660^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105018449 is a prime.

It is a super-2 number, since 2×1050184492 = 22057749260731202, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105018499) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52509224 + 52509225.

It is an arithmetic number, because the mean of its divisors is an integer number (52509225).

Almost surely, 2105018449 is an apocalyptic number.

It is an amenable number.

105018449 is a deficient number, since it is larger than the sum of its proper divisors (1).

105018449 is an equidigital number, since it uses as much as digits as its factorization.

105018449 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 32.

The square root of 105018449 is about 10247.8509454422. The cubic root of 105018449 is about 471.7970271234.

The spelling of 105018449 in words is "one hundred five million, eighteen thousand, four hundred forty-nine".