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105144241 is a prime number
BaseRepresentation
bin1100100010001…
…01111110110001
321022211212210011
412101011332301
5203404103431
614233334521
72414465656
oct621057661
9238755704
10105144241
1154395474
122b267441
1318a25137
14dd6dc2d
15936dcb1
hex6445fb1

105144241 has 2 divisors, whose sum is σ = 105144242. Its totient is φ = 105144240.

The previous prime is 105144223. The next prime is 105144253. The reversal of 105144241 is 142441501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 98010000 + 7134241 = 9900^2 + 2671^2 .

It is a cyclic number.

It is not a de Polignac number, because 105144241 - 217 = 105013169 is a prime.

It is a super-2 number, since 2×1051442412 = 22110622830932162, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105144211) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52572120 + 52572121.

It is an arithmetic number, because the mean of its divisors is an integer number (52572121).

Almost surely, 2105144241 is an apocalyptic number.

It is an amenable number.

105144241 is a deficient number, since it is larger than the sum of its proper divisors (1).

105144241 is an equidigital number, since it uses as much as digits as its factorization.

105144241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 105144241 is about 10253.9865905900. The cubic root of 105144241 is about 471.9853261382.

Adding to 105144241 its reverse (142441501), we get a palindrome (247585742).

The spelling of 105144241 in words is "one hundred five million, one hundred forty-four thousand, two hundred forty-one".