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105216341 is a prime number
BaseRepresentation
bin1100100010101…
…11100101010101
321022222112200112
412101113211111
5203413410331
614235052405
72415216116
oct621274525
9238875615
10105216341
115443465a
122b2a1105
1318a4bbb9
14dd8c20d
15938532b
hex6457955

105216341 has 2 divisors, whose sum is σ = 105216342. Its totient is φ = 105216340.

The previous prime is 105216323. The next prime is 105216343. The reversal of 105216341 is 143612501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 83631025 + 21585316 = 9145^2 + 4646^2 .

It is an emirp because it is prime and its reverse (143612501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105216341 is a prime.

It is a super-2 number, since 2×1052163412 = 22140956826856562, which contains 22 as substring.

Together with 105216343, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105216343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52608170 + 52608171.

It is an arithmetic number, because the mean of its divisors is an integer number (52608171).

Almost surely, 2105216341 is an apocalyptic number.

It is an amenable number.

105216341 is a deficient number, since it is larger than the sum of its proper divisors (1).

105216341 is an equidigital number, since it uses as much as digits as its factorization.

105216341 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 105216341 is about 10257.5016938824. The cubic root of 105216341 is about 472.0931854821.

Adding to 105216341 its reverse (143612501), we get a palindrome (248828842).

The spelling of 105216341 in words is "one hundred five million, two hundred sixteen thousand, three hundred forty-one".