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105221805173 is a prime number
BaseRepresentation
bin110000111111110110…
…1010101010001110101
3101001121002101112022022
41201333231111101311
53210443240231143
6120201020242525
710413331405202
oct1417755252165
9331532345268
10105221805173
1140695a69671
12184866a0445
139bcb5bb5a4
14514277cca9
152b0c8a6268
hex187fb55475

105221805173 has 2 divisors, whose sum is σ = 105221805174. Its totient is φ = 105221805172.

The previous prime is 105221805137. The next prime is 105221805179. The reversal of 105221805173 is 371508122501.

Together with previous prime (105221805137) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 87250525924 + 17971279249 = 295382^2 + 134057^2 .

It is a cyclic number.

It is not a de Polignac number, because 105221805173 - 224 = 105205027957 is a prime.

It is a super-2 number, since 2×1052218051732 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105221805179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52610902586 + 52610902587.

It is an arithmetic number, because the mean of its divisors is an integer number (52610902587).

Almost surely, 2105221805173 is an apocalyptic number.

It is an amenable number.

105221805173 is a deficient number, since it is larger than the sum of its proper divisors (1).

105221805173 is an equidigital number, since it uses as much as digits as its factorization.

105221805173 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16800, while the sum is 35.

Adding to 105221805173 its reverse (371508122501), we get a palindrome (476729927674).

The spelling of 105221805173 in words is "one hundred five billion, two hundred twenty-one million, eight hundred five thousand, one hundred seventy-three".