Search a number
-
+
105153193 is a prime number
BaseRepresentation
bin1100100010010…
…00001010101001
321022212100001201
412101020022221
5203404400233
614233444201
72414534035
oct621101251
9238770051
10105153193
11543a1172
122b270661
1318a29232
14dd731c5
15937177d
hex64482a9

105153193 has 2 divisors, whose sum is σ = 105153194. Its totient is φ = 105153192.

The previous prime is 105153161. The next prime is 105153227. The reversal of 105153193 is 391351501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 88604569 + 16548624 = 9413^2 + 4068^2 .

It is an emirp because it is prime and its reverse (391351501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105153193 - 25 = 105153161 is a prime.

It is a super-2 number, since 2×1051531932 = 22114387996190498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105153793) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52576596 + 52576597.

It is an arithmetic number, because the mean of its divisors is an integer number (52576597).

Almost surely, 2105153193 is an apocalyptic number.

It is an amenable number.

105153193 is a deficient number, since it is larger than the sum of its proper divisors (1).

105153193 is an equidigital number, since it uses as much as digits as its factorization.

105153193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2025, while the sum is 28.

The square root of 105153193 is about 10254.4230944505. The cubic root of 105153193 is about 471.9987207305.

The spelling of 105153193 in words is "one hundred five million, one hundred fifty-three thousand, one hundred ninety-three".