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105336431 is a prime number
BaseRepresentation
bin1100100011101…
…00111001101111
321100012122102022
412101310321233
5203431231211
614241420355
72416226204
oct621647157
9240178368
10105336431
1154506902
122b33a6bb
1318a91765
14ddbdcab
1593aabdb
hex6474e6f

105336431 has 2 divisors, whose sum is σ = 105336432. Its totient is φ = 105336430.

The previous prime is 105336409. The next prime is 105336433. The reversal of 105336431 is 134633501.

It is a strong prime.

It is an emirp because it is prime and its reverse (134633501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105336431 - 218 = 105074287 is a prime.

It is a super-2 number, since 2×1053364312 = 22191527391635522, which contains 22 as substring.

Together with 105336433, 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 105336431.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105336433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52668215 + 52668216.

It is an arithmetic number, because the mean of its divisors is an integer number (52668216).

Almost surely, 2105336431 is an apocalyptic number.

105336431 is a deficient number, since it is larger than the sum of its proper divisors (1).

105336431 is an equidigital number, since it uses as much as digits as its factorization.

105336431 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 105336431 is about 10263.3537890886. The cubic root of 105336431 is about 472.2727270324.

Adding to 105336431 its reverse (134633501), we get a palindrome (239969932).

The spelling of 105336431 in words is "one hundred five million, three hundred thirty-six thousand, four hundred thirty-one".