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105035017 = 149704933
BaseRepresentation
bin1100100001010…
…11010100001001
321022122022221211
412100223110021
5203342110032
614231133121
72413532353
oct620532411
9238568854
10105035017
11543203aa
122b2141a1
13189b74c9
14dd420d3
15934b747
hex642b509

105035017 has 4 divisors (see below), whose sum is σ = 105740100. Its totient is φ = 104329936.

The previous prime is 105034999. The next prime is 105035053. The reversal of 105035017 is 710530501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 710530501 = 6111648041.

It can be written as a sum of positive squares in 2 ways, for example, as 10342656 + 94692361 = 3216^2 + 9731^2 .

It is a cyclic number.

It is not a de Polignac number, because 105035017 - 219 = 104510729 is a prime.

It is a super-2 number, since 2×1050350172 = 22064709592380578, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105035617) 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 in 3 ways as a sum of consecutive naturals, for example, 352318 + ... + 352615.

It is an arithmetic number, because the mean of its divisors is an integer number (26435025).

Almost surely, 2105035017 is an apocalyptic number.

It is an amenable number.

105035017 is a deficient number, since it is larger than the sum of its proper divisors (705083).

105035017 is an equidigital number, since it uses as much as digits as its factorization.

105035017 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705082.

The product of its (nonzero) digits is 525, while the sum is 22.

The square root of 105035017 is about 10248.6592781690. The cubic root of 105035017 is about 471.8218364853.

Adding to 105035017 its reverse (710530501), we get a palindrome (815565518).

The spelling of 105035017 in words is "one hundred five million, thirty-five thousand, seventeen".

Divisors: 1 149 704933 105035017