Search a number
-
+
103681 is a prime number
BaseRepresentation
bin11001010100000001
312021020001
4121110001
511304211
62120001
7611164
oct312401
9167201
10103681
1170996
1250001
1338266
1429adb
1520ac1
hex19501

103681 has 2 divisors, whose sum is σ = 103682. Its totient is φ = 103680.

The previous prime is 103669. The next prime is 103687. The reversal of 103681 is 186301.

Adding to 103681 its reverse (186301), we get a palindrome (289982).

It can be divided in two parts, 103 and 681, that added together give a square (784 = 282).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 78400 + 25281 = 280^2 + 159^2 .

It is an emirp because it is prime and its reverse (186301) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 103681 - 27 = 103553 is a prime.

It is a super-2 number, since 2×1036812 = 21499499522, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (103687) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51840 + 51841.

It is an arithmetic number, because the mean of its divisors is an integer number (51841).

103681 is a Friedman number, since it can be written as 80*6^(3+1)+1, using all its digits and the basic arithmetic operations.

2103681 is an apocalyptic number.

It is an amenable number.

103681 is a deficient number, since it is larger than the sum of its proper divisors (1).

103681 is an equidigital number, since it uses as much as digits as its factorization.

103681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 103681 is about 321.9953415812. The cubic root of 103681 is about 46.9785627301.

The spelling of 103681 in words is "one hundred three thousand, six hundred eighty-one".