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105203413 = 743834211
BaseRepresentation
bin1100100010101…
…00011011010101
321022221212221201
412101110123111
5203413002123
614234512501
72415133330
oct621243325
9238855851
10105203413
1154425977
122b295731
1318a46053
14dd87617
1593815ad
hex64546d5

105203413 has 16 divisors (see below), whose sum is σ = 124540416. Its totient is φ = 86995440.

The previous prime is 105203411. The next prime is 105203453. The reversal of 105203413 is 314302501.

It is not a de Polignac number, because 105203413 - 21 = 105203411 is a prime.

It is a super-2 number, since 2×1052034132 = 22135516213697138, which contains 22 as substring.

It is a congruent 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 15 ways as a sum of consecutive naturals, for example, 22878 + ... + 27088.

It is an arithmetic number, because the mean of its divisors is an integer number (7783776).

Almost surely, 2105203413 is an apocalyptic number.

It is an amenable number.

105203413 is a deficient number, since it is larger than the sum of its proper divisors (19337003).

105203413 is an equidigital number, since it uses as much as digits as its factorization.

105203413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4344.

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 105203413 is about 10256.8715015837. The cubic root of 105203413 is about 472.0738492249.

Adding to 105203413 its reverse (314302501), we get a palindrome (419505914).

The spelling of 105203413 in words is "one hundred five million, two hundred three thousand, four hundred thirteen".

Divisors: 1 7 43 83 301 581 3569 4211 24983 29477 181073 349513 1267511 2446591 15029059 105203413