Search a number
-
+
105011237 is a prime number
BaseRepresentation
bin1100100001001…
…01100000100101
321022121010100002
412100211200211
5203340324422
614230431045
72413403132
oct620454045
9238533302
10105011237
1154304551
122b202485
13189a9736
14dd37589
159344692
hex6425825

105011237 has 2 divisors, whose sum is σ = 105011238. Its totient is φ = 105011236.

The previous prime is 105011219. The next prime is 105011243. The reversal of 105011237 is 732110501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103754596 + 1256641 = 10186^2 + 1121^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105011237 is a prime.

It is a super-2 number, since 2×1050112372 = 22054719792540338, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105011287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52505618 + 52505619.

It is an arithmetic number, because the mean of its divisors is an integer number (52505619).

Almost surely, 2105011237 is an apocalyptic number.

It is an amenable number.

105011237 is a deficient number, since it is larger than the sum of its proper divisors (1).

105011237 is an equidigital number, since it uses as much as digits as its factorization.

105011237 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 210, while the sum is 20.

The square root of 105011237 is about 10247.4990607465. The cubic root of 105011237 is about 471.7862268686.

Adding to 105011237 its reverse (732110501), we get a palindrome (837121738).

The spelling of 105011237 in words is "one hundred five million, eleven thousand, two hundred thirty-seven".