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105564469 is a prime number
BaseRepresentation
bin1100100101011…
…00100100110101
321100122020020011
412102230210311
5204011030334
614250340221
72421166063
oct622544465
9240566204
10105564469
115465216a
122b42a671
1318b414aa
141003d033
159403564
hex64ac935

105564469 has 2 divisors, whose sum is σ = 105564470. Its totient is φ = 105564468.

The previous prime is 105564467. The next prime is 105564521. The reversal of 105564469 is 964465501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85655025 + 19909444 = 9255^2 + 4462^2 .

It is a cyclic number.

It is not a de Polignac number, because 105564469 - 21 = 105564467 is a prime.

It is a super-2 number, since 2×1055644692 = 22287714230503922, which contains 22 as substring.

Together with 105564467, 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 (105564467) 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, 52782234 + 52782235.

It is an arithmetic number, because the mean of its divisors is an integer number (52782235).

Almost surely, 2105564469 is an apocalyptic number.

It is an amenable number.

105564469 is a deficient number, since it is larger than the sum of its proper divisors (1).

105564469 is an equidigital number, since it uses as much as digits as its factorization.

105564469 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 105564469 is about 10274.4571146119. The cubic root of 105564469 is about 472.6132819097.

The spelling of 105564469 in words is "one hundred five million, five hundred sixty-four thousand, four hundred sixty-nine".