Search a number
-
+
105404450441 is a prime number
BaseRepresentation
bin110001000101010011…
…0000100011010001001
3101002001211001212111212
41202022212010122021
53211332014403231
6120231103102505
710421010021533
oct1421246043211
9332054055455
10105404450441
114077a078774
12185178a1a35
139c2a3aa504
14515cb24853
152b1d93342b
hex188a984689

105404450441 has 2 divisors, whose sum is σ = 105404450442. Its totient is φ = 105404450440.

The previous prime is 105404450419. The next prime is 105404450477. The reversal of 105404450441 is 144054404501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104994792841 + 409657600 = 324029^2 + 20240^2 .

It is a cyclic number.

It is not a de Polignac number, because 105404450441 - 26 = 105404450377 is a prime.

It is a super-2 number, since 2×1054044504412 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105404450398 and 105404450407.

It is not a weakly prime, because it can be changed into another prime (105404450401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52702225220 + 52702225221.

It is an arithmetic number, because the mean of its divisors is an integer number (52702225221).

Almost surely, 2105404450441 is an apocalyptic number.

It is an amenable number.

105404450441 is a deficient number, since it is larger than the sum of its proper divisors (1).

105404450441 is an equidigital number, since it uses as much as digits as its factorization.

105404450441 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25600, while the sum is 32.

Adding to 105404450441 its reverse (144054404501), we get a palindrome (249458854942).

The spelling of 105404450441 in words is "one hundred five billion, four hundred four million, four hundred fifty thousand, four hundred forty-one".