Search a number
-
+
105065327 is a prime number
BaseRepresentation
bin1100100001100…
…10101101101111
321022200212112102
412100302231233
5203344042302
614231525315
72414016623
oct620625557
9238625472
10105065327
1154341154
122b22983b
13189c8243
14dd4d183
159355702
hex6432b6f

105065327 has 2 divisors, whose sum is σ = 105065328. Its totient is φ = 105065326.

The previous prime is 105065309. The next prime is 105065341. The reversal of 105065327 is 723560501.

It is a strong prime.

It is an emirp because it is prime and its reverse (723560501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105065327 - 26 = 105065263 is a prime.

It is a super-2 number, since 2×1050653272 = 22077445875233858, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105065327.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105065377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52532663 + 52532664.

It is an arithmetic number, because the mean of its divisors is an integer number (52532664).

Almost surely, 2105065327 is an apocalyptic number.

105065327 is a deficient number, since it is larger than the sum of its proper divisors (1).

105065327 is an equidigital number, since it uses as much as digits as its factorization.

105065327 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 29.

The square root of 105065327 is about 10250.1379015114. The cubic root of 105065327 is about 471.8672167305.

The spelling of 105065327 in words is "one hundred five million, sixty-five thousand, three hundred twenty-seven".