Search a number
-
+
105655110697 is a prime number
BaseRepresentation
bin110001001100110001…
…0010000110000101001
3101002201021201201202001
41202121202100300221
53212340202020242
6120312015411001
710430142423463
oct1423142206051
9332637651661
10105655110697
1140898612504
1218587823a61
139c6a2c15a6
145184133133
152b35947eb7
hex1899890c29

105655110697 has 2 divisors, whose sum is σ = 105655110698. Its totient is φ = 105655110696.

The previous prime is 105655110661. The next prime is 105655110733. The reversal of 105655110697 is 796011556501.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (105655110661) and next prime (105655110733).

It can be written as a sum of positive squares in only one way, i.e., 56167104016 + 49488006681 = 236996^2 + 222459^2 .

It is a cyclic number.

It is not a de Polignac number, because 105655110697 - 215 = 105655077929 is a prime.

It is a super-2 number, since 2×1056551106972 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105655110607) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52827555348 + 52827555349.

It is an arithmetic number, because the mean of its divisors is an integer number (52827555349).

Almost surely, 2105655110697 is an apocalyptic number.

It is an amenable number.

105655110697 is a deficient number, since it is larger than the sum of its proper divisors (1).

105655110697 is an equidigital number, since it uses as much as digits as its factorization.

105655110697 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 283500, while the sum is 46.

The spelling of 105655110697 in words is "one hundred five billion, six hundred fifty-five million, one hundred ten thousand, six hundred ninety-seven".