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105222109 is a prime number
BaseRepresentation
bin1100100010110…
…00111111011101
321022222211121011
412101120333131
5203414101414
614235135221
72415241666
oct621307735
9238884534
10105222109
1154438a23
122b2a4511
1318a51705
14dd9036d
159386dc4
hex6458fdd

105222109 has 2 divisors, whose sum is σ = 105222110. Its totient is φ = 105222108.

The previous prime is 105222083. The next prime is 105222151. The reversal of 105222109 is 901222501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61622500 + 43599609 = 7850^2 + 6603^2 .

It is a cyclic number.

It is not a de Polignac number, because 105222109 - 211 = 105220061 is a prime.

It is a super-2 number, since 2×1052221092 = 22143384444815762, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105222109.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105222199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52611054 + 52611055.

It is an arithmetic number, because the mean of its divisors is an integer number (52611055).

Almost surely, 2105222109 is an apocalyptic number.

It is an amenable number.

105222109 is a deficient number, since it is larger than the sum of its proper divisors (1).

105222109 is an equidigital number, since it uses as much as digits as its factorization.

105222109 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 22.

The square root of 105222109 is about 10257.7828501095. The cubic root of 105222109 is about 472.1018121007.

The spelling of 105222109 in words is "one hundred five million, two hundred twenty-two thousand, one hundred nine".