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105746369 is a prime number
BaseRepresentation
bin1100100110110…
…00111111000001
321100222110202012
412103120333001
5204032340434
614254302305
72422554311
oct623307701
9240873665
10105746369
11547668a3
122b4b7995
1318ba6221
1410089441
15943c3ce
hex64d8fc1

105746369 has 2 divisors, whose sum is σ = 105746370. Its totient is φ = 105746368.

The previous prime is 105746353. The next prime is 105746371. The reversal of 105746369 is 963647501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93412225 + 12334144 = 9665^2 + 3512^2 .

It is a cyclic number.

It is not a de Polignac number, because 105746369 - 24 = 105746353 is a prime.

It is a super-2 number, since 2×1057463692 = 22364589113368322, which contains 22 as substring.

It is a Sophie Germain prime.

Together with 105746371, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (105746309) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52873184 + 52873185.

It is an arithmetic number, because the mean of its divisors is an integer number (52873185).

Almost surely, 2105746369 is an apocalyptic number.

It is an amenable number.

105746369 is a deficient number, since it is larger than the sum of its proper divisors (1).

105746369 is an equidigital number, since it uses as much as digits as its factorization.

105746369 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 105746369 is about 10283.3053538247. The cubic root of 105746369 is about 472.8845822381.

The spelling of 105746369 in words is "one hundred five million, seven hundred forty-six thousand, three hundred sixty-nine".