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105522017 is a prime number
BaseRepresentation
bin1100100101000…
…10001101100001
321100120001222212
412102202031201
5204003201032
614245411505
72420631236
oct622421541
9240501885
10105522017
1154623287
122b409b95
1318b28083
141002b78d
1593e5bb2
hex64a2361

105522017 has 2 divisors, whose sum is σ = 105522018. Its totient is φ = 105522016.

The previous prime is 105522013. The next prime is 105522023. The reversal of 105522017 is 710225501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78074896 + 27447121 = 8836^2 + 5239^2 .

It is a cyclic number.

It is not a de Polignac number, because 105522017 - 22 = 105522013 is a prime.

It is a super-2 number, since 2×1055220172 = 22269792143496578, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105521983 and 105522001.

It is not a weakly prime, because it can be changed into another prime (105522013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52761008 + 52761009.

It is an arithmetic number, because the mean of its divisors is an integer number (52761009).

Almost surely, 2105522017 is an apocalyptic number.

It is an amenable number.

105522017 is a deficient number, since it is larger than the sum of its proper divisors (1).

105522017 is an equidigital number, since it uses as much as digits as its factorization.

105522017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 700, while the sum is 23.

The square root of 105522017 is about 10272.3910069662. The cubic root of 105522017 is about 472.5499207262.

Adding to 105522017 its reverse (710225501), we get a palindrome (815747518).

The spelling of 105522017 in words is "one hundred five million, five hundred twenty-two thousand, seventeen".