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105117449 is a prime number
BaseRepresentation
bin1100100001111…
…11011100001001
321022210112000212
412100333130021
5203402224244
614233010505
72414324603
oct620773411
9238715025
10105117449
1154377328
122b253a35
1318a15b98
14dd64173
159365d9e
hex643f709

105117449 has 2 divisors, whose sum is σ = 105117450. Its totient is φ = 105117448.

The previous prime is 105117421. The next prime is 105117451. The reversal of 105117449 is 944711501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103388224 + 1729225 = 10168^2 + 1315^2 .

It is a cyclic number.

It is not a de Polignac number, because 105117449 - 28 = 105117193 is a prime.

It is a super-2 number, since 2×1051174492 = 22099356168535202, which contains 22 as substring.

Together with 105117451, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (105117469) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52558724 + 52558725.

It is an arithmetic number, because the mean of its divisors is an integer number (52558725).

Almost surely, 2105117449 is an apocalyptic number.

It is an amenable number.

105117449 is a deficient number, since it is larger than the sum of its proper divisors (1).

105117449 is an equidigital number, since it uses as much as digits as its factorization.

105117449 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 105117449 is about 10252.6800886402. The cubic root of 105117449 is about 471.9452335791.

The spelling of 105117449 in words is "one hundred five million, one hundred seventeen thousand, four hundred forty-nine".