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105522632009 is a prime number
BaseRepresentation
bin110001001000110100…
…0111001010101001001
3101002101001110010010222
41202101220321111021
53212102243211014
6120250524115425
710423643400314
oct1422150712511
9332331403128
10105522632009
114082a858293
121854b395b75
139c48a18832
1451706c997b
152b28eca08e
hex1891a39549

105522632009 has 2 divisors, whose sum is σ = 105522632010. Its totient is φ = 105522632008.

The previous prime is 105522631987. The next prime is 105522632099. The reversal of 105522632009 is 900236225501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104957856784 + 564775225 = 323972^2 + 23765^2 .

It is a cyclic number.

It is not a de Polignac number, because 105522632009 - 212 = 105522627913 is a prime.

It is a super-2 number, since 2×1055226320092 (a number of 23 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105522632009.

It is not a weakly prime, because it can be changed into another prime (105522632099) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52761316004 + 52761316005.

It is an arithmetic number, because the mean of its divisors is an integer number (52761316005).

Almost surely, 2105522632009 is an apocalyptic number.

It is an amenable number.

105522632009 is a deficient number, since it is larger than the sum of its proper divisors (1).

105522632009 is an equidigital number, since it uses as much as digits as its factorization.

105522632009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32400, while the sum is 35.

The spelling of 105522632009 in words is "one hundred five billion, five hundred twenty-two million, six hundred thirty-two thousand, nine".