Search a number
-
+
107101 is a prime number
BaseRepresentation
bin11010001001011101
312102220201
4122021131
511411401
62143501
7624151
oct321135
9172821
10107101
1173515
1251b91
1339997
142b061
1521b01
hex1a25d

107101 has 2 divisors, whose sum is σ = 107102. Its totient is φ = 107100.

The previous prime is 107099. The next prime is 107119. The reversal of 107101 is 101701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63001 + 44100 = 251^2 + 210^2 .

It is an emirp because it is prime and its reverse (101701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 107101 - 21 = 107099 is a prime.

It is a super-2 number, since 2×1071012 = 22941248402, which contains 22 as substring.

Together with 107099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53550 + 53551.

It is an arithmetic number, because the mean of its divisors is an integer number (53551).

2107101 is an apocalyptic number.

It is an amenable number.

107101 is a deficient number, since it is larger than the sum of its proper divisors (1).

107101 is an equidigital number, since it uses as much as digits as its factorization.

107101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7, while the sum is 10.

The square root of 107101 is about 327.2628912663. The cubic root of 107101 is about 47.4895267768.

Adding to 107101 its reverse (101701), we get a palindrome (208802).

The spelling of 107101 in words is "one hundred seven thousand, one hundred one", and thus it is an iban number.