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105223403431 is a prime number
BaseRepresentation
bin110000111111111001…
…1011011011110100111
3101001121012101201201001
41201333303123132213
53210444142402211
6120201114414131
710413351112636
oct1417763333647
9331535351631
10105223403431
1140696960443
1218487131347
139bcba2abc3
145142a7751d
152b0cabeac1
hex187fcdb7a7

105223403431 has 2 divisors, whose sum is σ = 105223403432. Its totient is φ = 105223403430.

The previous prime is 105223403419. The next prime is 105223403459. The reversal of 105223403431 is 134304322501.

It is a happy number.

It is an a-pointer prime, because the next prime (105223403459) can be obtained adding 105223403431 to its sum of digits (28).

It is a weak prime.

It is an emirp because it is prime and its reverse (134304322501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105223403431 - 221 = 105221306279 is a prime.

It is a super-3 number, since 3×1052234034313 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105223403431.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105223403401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52611701715 + 52611701716.

It is an arithmetic number, because the mean of its divisors is an integer number (52611701716).

Almost surely, 2105223403431 is an apocalyptic number.

105223403431 is a deficient number, since it is larger than the sum of its proper divisors (1).

105223403431 is an equidigital number, since it uses as much as digits as its factorization.

105223403431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 105223403431 its reverse (134304322501), we get a palindrome (239527725932).

The spelling of 105223403431 in words is "one hundred five billion, two hundred twenty-three million, four hundred three thousand, four hundred thirty-one".