Search a number
-
+
105613 is a prime number
BaseRepresentation
bin11001110010001101
312100212121
4121302031
511334423
62132541
7616624
oct316215
9170777
10105613
1172392
1251151
13390c1
142a6bb
152145d
hex19c8d

105613 has 2 divisors, whose sum is σ = 105614. Its totient is φ = 105612.

The previous prime is 105607. The next prime is 105619. The reversal of 105613 is 316501.

It is a balanced prime because it is at equal distance from previous prime (105607) and next prime (105619).

It can be written as a sum of positive squares in only one way, i.e., 101124 + 4489 = 318^2 + 67^2 .

It is an emirp because it is prime and its reverse (316501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105613 is a prime.

It is a super-2 number, since 2×1056132 = 22308211538, which contains 22 as substring.

105613 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105619) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52806 + 52807.

It is an arithmetic number, because the mean of its divisors is an integer number (52807).

2105613 is an apocalyptic number.

It is an amenable number.

105613 is a deficient number, since it is larger than the sum of its proper divisors (1).

105613 is an equidigital number, since it uses as much as digits as its factorization.

105613 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 105613 is about 324.9815379372. The cubic root of 105613 is about 47.2685695420.

The spelling of 105613 in words is "one hundred five thousand, six hundred thirteen".