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105643141 is a prime number
BaseRepresentation
bin1100100101111…
…11110010000101
321100210020010221
412102333302011
5204021040031
614252144341
72421644332
oct622776205
9240706127
10105643141
11546a628a
122b4680b1
1318b6b246
141005d989
15941ba11
hex64bfc85

105643141 has 2 divisors, whose sum is σ = 105643142. Its totient is φ = 105643140.

The previous prime is 105643067. The next prime is 105643157. The reversal of 105643141 is 141346501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 81974916 + 23668225 = 9054^2 + 4865^2 .

It is an emirp because it is prime and its reverse (141346501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105643141 - 221 = 103545989 is a prime.

It is a super-2 number, since 2×1056431412 = 22320946480691762, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105643171) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52821570 + 52821571.

It is an arithmetic number, because the mean of its divisors is an integer number (52821571).

Almost surely, 2105643141 is an apocalyptic number.

It is an amenable number.

105643141 is a deficient number, since it is larger than the sum of its proper divisors (1).

105643141 is an equidigital number, since it uses as much as digits as its factorization.

105643141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 105643141 is about 10278.2849250252. The cubic root of 105643141 is about 472.7306578911.

Adding to 105643141 its reverse (141346501), we get a palindrome (246989642).

The spelling of 105643141 in words is "one hundred five million, six hundred forty-three thousand, one hundred forty-one".