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105044309 = 1729321089
BaseRepresentation
bin1100100001011…
…01100101010101
321022122210200222
412100231211111
5203342404214
614231244125
72413601426
oct620554525
9238583628
10105044309
1154327387
122b219645
13189bb7c6
14dd4564d
15934e38e
hex642d955

105044309 has 8 divisors (see below), whose sum is σ = 111608280. Its totient is φ = 98523136.

The previous prime is 105044279. The next prime is 105044311. The reversal of 105044309 is 903440501.

It can be written as a sum of positive squares in 4 ways, for example, as 87796900 + 17247409 = 9370^2 + 4153^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105044309 - 212 = 105040213 is a prime.

It is a super-2 number, since 2×1050443092 = 22068613706574962, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105044609) 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 in 7 ways as a sum of consecutive naturals, for example, 5564 + ... + 15525.

It is an arithmetic number, because the mean of its divisors is an integer number (13951035).

Almost surely, 2105044309 is an apocalyptic number.

It is an amenable number.

105044309 is a deficient number, since it is larger than the sum of its proper divisors (6563971).

105044309 is a wasteful number, since it uses less digits than its factorization.

105044309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21399.

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 105044309 is about 10249.1125957324. The cubic root of 105044309 is about 471.8357494303.

The spelling of 105044309 in words is "one hundred five million, forty-four thousand, three hundred nine".

Divisors: 1 17 293 4981 21089 358513 6179077 105044309