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105640427 is a prime number
BaseRepresentation
bin1100100101111…
…11000111101011
321100210002102102
412102333013223
5204020443202
614252124015
72421633404
oct622770753
9240702372
10105640427
11546a4242
122b46660b
1318b69c39
141005c9ab
15941ad02
hex64bf1eb

105640427 has 2 divisors, whose sum is σ = 105640428. Its totient is φ = 105640426.

The previous prime is 105640421. The next prime is 105640429. The reversal of 105640427 is 724046501.

It is a strong prime.

It is an emirp because it is prime and its reverse (724046501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105640427 - 24 = 105640411 is a prime.

It is a super-2 number, since 2×1056404272 = 22319799633484658, which contains 22 as substring.

Together with 105640429, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105640427.

It is not a weakly prime, because it can be changed into another prime (105640421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52820213 + 52820214.

It is an arithmetic number, because the mean of its divisors is an integer number (52820214).

Almost surely, 2105640427 is an apocalyptic number.

105640427 is a deficient number, since it is larger than the sum of its proper divisors (1).

105640427 is an equidigital number, since it uses as much as digits as its factorization.

105640427 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 105640427 is about 10278.1528982595. The cubic root of 105640427 is about 472.7266096649.

Adding to 105640427 its reverse (724046501), we get a palindrome (829686928).

The spelling of 105640427 in words is "one hundred five million, six hundred forty thousand, four hundred twenty-seven".