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105183841 = 722974021
BaseRepresentation
bin1100100010011…
…11101001100001
321022220220002211
412101033221201
5203411340331
614234242121
72415022300
oct621175141
9238826084
10105183841
11544121a4
122b286341
1318a3a179
14dd80437
15937a8b1
hex644fa61

105183841 has 12 divisors (see below), whose sum is σ = 126577620. Its totient is φ = 87047520.

The previous prime is 105183821. The next prime is 105183857. The reversal of 105183841 is 148381501.

It can be written as a sum of positive squares in 2 ways, for example, as 42837025 + 62346816 = 6545^2 + 7896^2 .

It is not a de Polignac number, because 105183841 - 211 = 105181793 is a prime.

It is a super-2 number, since 2×1051838412 = 22127280815026562, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105183821) 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 11 ways as a sum of consecutive naturals, for example, 35590 + ... + 38431.

It is an arithmetic number, because the mean of its divisors is an integer number (10548135).

Almost surely, 2105183841 is an apocalyptic number.

It is an amenable number.

105183841 is a deficient number, since it is larger than the sum of its proper divisors (21393779).

105183841 is an equidigital number, since it uses as much as digits as its factorization.

105183841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74064 (or 74057 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 105183841 is about 10255.9173651117. The cubic root of 105183841 is about 472.0445726005.

The spelling of 105183841 in words is "one hundred five million, one hundred eighty-three thousand, eight hundred forty-one".

Divisors: 1 7 29 49 203 1421 74021 518147 2146609 3627029 15026263 105183841