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105324031 is a prime number
BaseRepresentation
bin1100100011100…
…01110111111111
321100012000102001
412101301313333
5203430332111
614241243131
72416145101
oct621616777
9240160361
10105324031
11544a855a
122b3334a7
1318a88c17
14ddb9571
1593a71c1
hex6471dff

105324031 has 2 divisors, whose sum is σ = 105324032. Its totient is φ = 105324030.

The previous prime is 105324029. The next prime is 105324073. The reversal of 105324031 is 130423501.

105324031 = T8378 + T8379 + T8380.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105324031 - 21 = 105324029 is a prime.

It is a super-2 number, since 2×1053240312 = 22186303012177922, which contains 22 as substring.

Together with 105324029, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105324631) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52662015 + 52662016.

It is an arithmetic number, because the mean of its divisors is an integer number (52662016).

Almost surely, 2105324031 is an apocalyptic number.

105324031 is the 8380-th centered triangular number.

105324031 is a deficient number, since it is larger than the sum of its proper divisors (1).

105324031 is an equidigital number, since it uses as much as digits as its factorization.

105324031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 105324031 is about 10262.7496802757. The cubic root of 105324031 is about 472.2541946293.

Adding to 105324031 its reverse (130423501), we get a palindrome (235747532).

The spelling of 105324031 in words is "one hundred five million, three hundred twenty-four thousand, thirty-one".