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105000173 is a prime number
BaseRepresentation
bin1100100001000…
…10110011101101
321022120120011022
412100202303231
5203340001143
614230303525
72413325645
oct620426355
9238516138
10105000173
11542a7203
122b1b7ba5
13189a46a5
14dd33525
159341268
hex6422ced

105000173 has 2 divisors, whose sum is σ = 105000174. Its totient is φ = 105000172.

The previous prime is 105000169. The next prime is 105000197. The reversal of 105000173 is 371000501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57486724 + 47513449 = 7582^2 + 6893^2 .

It is a cyclic number.

It is not a de Polignac number, because 105000173 - 22 = 105000169 is a prime.

It is a super-2 number, since 2×1050001732 = 22050072660059858, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105000163) 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, 52500086 + 52500087.

It is an arithmetic number, because the mean of its divisors is an integer number (52500087).

Almost surely, 2105000173 is an apocalyptic number.

It is an amenable number.

105000173 is a deficient number, since it is larger than the sum of its proper divisors (1).

105000173 is an equidigital number, since it uses as much as digits as its factorization.

105000173 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105, while the sum is 17.

The square root of 105000173 is about 10246.9592074918. The cubic root of 105000173 is about 471.7696571303.

Adding to 105000173 its reverse (371000501), we get a palindrome (476000674).

The spelling of 105000173 in words is "one hundred five million, one hundred seventy-three", and thus it is an aban number.