Search a number
-
+
105216427 is a prime number
BaseRepresentation
bin1100100010101…
…11100110101011
321022222112210201
412101113212223
5203413411202
614235053031
72415216301
oct621274653
9238875721
10105216427
1154434728
122b2a1177
1318a4bc54
14dd8c271
159385387
hex64579ab

105216427 has 2 divisors, whose sum is σ = 105216428. Its totient is φ = 105216426.

The previous prime is 105216407. The next prime is 105216431. The reversal of 105216427 is 724612501.

It is a strong prime.

It is an emirp because it is prime and its reverse (724612501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105216427 - 211 = 105214379 is a prime.

It is a super-2 number, since 2×1052164272 = 22140993021292658, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105216395 and 105216404.

It is not a weakly prime, because it can be changed into another prime (105216407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52608213 + 52608214.

It is an arithmetic number, because the mean of its divisors is an integer number (52608214).

Almost surely, 2105216427 is an apocalyptic number.

105216427 is a deficient number, since it is larger than the sum of its proper divisors (1).

105216427 is an equidigital number, since it uses as much as digits as its factorization.

105216427 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 105216427 is about 10257.5058859354. The cubic root of 105216427 is about 472.0933141059.

Adding to 105216427 its reverse (724612501), we get a palindrome (829828928).

The spelling of 105216427 in words is "one hundred five million, two hundred sixteen thousand, four hundred twenty-seven".