Search a number
-
+
106591 is a prime number
BaseRepresentation
bin11010000001011111
312102012211
4122001133
511402331
62141251
7622522
oct320137
9172184
10106591
11730a1
1251827
1339694
142abb9
15218b1
hex1a05f

106591 has 2 divisors, whose sum is σ = 106592. Its totient is φ = 106590.

The previous prime is 106543. The next prime is 106619. The reversal of 106591 is 195601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106591 - 211 = 104543 is a prime.

It is a super-2 number, since 2×1065912 = 22723282562, 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 (106501) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53295 + 53296.

It is an arithmetic number, because the mean of its divisors is an integer number (53296).

2106591 is an apocalyptic number.

106591 is a deficient number, since it is larger than the sum of its proper divisors (1).

106591 is an equidigital number, since it uses as much as digits as its factorization.

106591 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 106591 is about 326.4827713678. The cubic root of 106591 is about 47.4140273130.

It can be divided in two parts, 1065 and 91, that added together give a square (1156 = 342).

The spelling of 106591 in words is "one hundred six thousand, five hundred ninety-one".