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105530431 is a prime number
BaseRepresentation
bin1100100101001…
…00010000111111
321100120111112111
412102210100333
5204003433211
614245514451
72420664616
oct622442077
9240514474
10105530431
1154629636
122b412a27
1318b2bb56
141003087d
1593e8421
hex64a443f

105530431 has 2 divisors, whose sum is σ = 105530432. Its totient is φ = 105530430.

The previous prime is 105530387. The next prime is 105530437. The reversal of 105530431 is 134035501.

It is a happy number.

It is a strong prime.

It is an emirp because it is prime and its reverse (134035501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105530431 - 213 = 105522239 is a prime.

It is a super-2 number, since 2×1055304312 = 22273343734091522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105530437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52765215 + 52765216.

It is an arithmetic number, because the mean of its divisors is an integer number (52765216).

Almost surely, 2105530431 is an apocalyptic number.

105530431 is a deficient number, since it is larger than the sum of its proper divisors (1).

105530431 is an equidigital number, since it uses as much as digits as its factorization.

105530431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 105530431 is about 10272.8005431820. The cubic root of 105530431 is about 472.5624802831.

Adding to 105530431 its reverse (134035501), we get a palindrome (239565932).

The spelling of 105530431 in words is "one hundred five million, five hundred thirty thousand, four hundred thirty-one".