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105405241 is a prime number
BaseRepresentation
bin1100100100001…
…01101100111001
321100100010210211
412102011230321
5203440431431
614243111121
72416633624
oct622055471
9240303724
10105405241
1154553577
122b3724a1
1318ab6b86
14dddadbb
1593c12b1
hex6485b39

105405241 has 2 divisors, whose sum is σ = 105405242. Its totient is φ = 105405240.

The previous prime is 105405233. The next prime is 105405263. The reversal of 105405241 is 142504501.

It is an a-pointer prime, because the next prime (105405263) can be obtained adding 105405241 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105267600 + 137641 = 10260^2 + 371^2 .

It is a cyclic number.

It is not a de Polignac number, because 105405241 - 23 = 105405233 is a prime.

It is a super-2 number, since 2×1054052412 = 22220529660536162, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105405221) 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, 52702620 + 52702621.

It is an arithmetic number, because the mean of its divisors is an integer number (52702621).

Almost surely, 2105405241 is an apocalyptic number.

It is an amenable number.

105405241 is a deficient number, since it is larger than the sum of its proper divisors (1).

105405241 is an equidigital number, since it uses as much as digits as its factorization.

105405241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 105405241 is about 10266.7054598834. The cubic root of 105405241 is about 472.3755405050.

Adding to 105405241 its reverse (142504501), we get a palindrome (247909742).

The spelling of 105405241 in words is "one hundred five million, four hundred five thousand, two hundred forty-one".