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105626369 is a prime number
BaseRepresentation
bin1100100101110…
…11101100000001
321100202101010202
412102323230001
5204020020434
614251534545
72421544412
oct622735401
9240671122
10105626369
1154694722
122b45a455
1318b63714
1410057809
159416a7e
hex64bbb01

105626369 has 2 divisors, whose sum is σ = 105626370. Its totient is φ = 105626368.

The previous prime is 105626363. The next prime is 105626387. The reversal of 105626369 is 963626501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98406400 + 7219969 = 9920^2 + 2687^2 .

It is an emirp because it is prime and its reverse (963626501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105626369 - 224 = 88849153 is a prime.

It is a super-2 number, since 2×1056263692 = 22313859656248322, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105626363) 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, 52813184 + 52813185.

It is an arithmetic number, because the mean of its divisors is an integer number (52813185).

Almost surely, 2105626369 is an apocalyptic number.

It is an amenable number.

105626369 is a deficient number, since it is larger than the sum of its proper divisors (1).

105626369 is an equidigital number, since it uses as much as digits as its factorization.

105626369 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 58320, while the sum is 38.

The square root of 105626369 is about 10277.4689977640. The cubic root of 105626369 is about 472.7056395190.

The spelling of 105626369 in words is "one hundred five million, six hundred twenty-six thousand, three hundred sixty-nine".