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105203441 = 722147009
BaseRepresentation
bin1100100010101…
…00011011110001
321022221212222202
412101110123301
5203413002231
614234512545
72415133400
oct621243361
9238855882
10105203441
11544259a2
122b295755
1318a46075
14dd87637
1593815cb
hex64546f1

105203441 has 6 divisors (see below), whose sum is σ = 122379570. Its totient is φ = 90174336.

The previous prime is 105203411. The next prime is 105203453. The reversal of 105203441 is 144302501.

It can be written as a sum of positive squares in only one way, i.e., 105165025 + 38416 = 10255^2 + 196^2 .

It is not a de Polignac number, because 105203441 - 214 = 105187057 is a prime.

It is a super-2 number, since 2×1052034412 = 22135527996480962, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105203411) 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 5 ways as a sum of consecutive naturals, for example, 1073456 + ... + 1073553.

It is an arithmetic number, because the mean of its divisors is an integer number (20396595).

Almost surely, 2105203441 is an apocalyptic number.

It is an amenable number.

105203441 is a deficient number, since it is larger than the sum of its proper divisors (17176129).

105203441 is an equidigital number, since it uses as much as digits as its factorization.

105203441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147023 (or 2147016 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 105203441 is about 10256.8728665222. The cubic root of 105203441 is about 472.0738911059.

Adding to 105203441 its reverse (144302501), we get a palindrome (249505942).

The spelling of 105203441 in words is "one hundred five million, two hundred three thousand, four hundred forty-one".

Divisors: 1 7 49 2147009 15029063 105203441