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105424341 = 31123138899
BaseRepresentation
bin1100100100010…
…10010111010101
321100101010000020
412102022113111
5203442034331
614243335353
72420043411
oct622122725
9240333006
10105424341
1154566960
122b381559
1318ac2789
1410003d41
1593c6c96
hex648a5d5

105424341 has 16 divisors (see below), whose sum is σ = 160012800. Its totient is φ = 61115120.

The previous prime is 105424321. The next prime is 105424357. The reversal of 105424341 is 143424501.

It is not a de Polignac number, because 105424341 - 210 = 105423317 is a prime.

It is a super-2 number, since 2×1054243412 = 22228583350568562, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105424321) 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, 68691 + ... + 70208.

It is an arithmetic number, because the mean of its divisors is an integer number (10000800).

Almost surely, 2105424341 is an apocalyptic number.

105424341 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105424341 is a deficient number, since it is larger than the sum of its proper divisors (54588459).

105424341 is a wasteful number, since it uses less digits than its factorization.

105424341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138936.

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 105424341 is about 10267.6356090387. The cubic root of 105424341 is about 472.4040711164.

Adding to 105424341 its reverse (143424501), we get a palindrome (248848842).

The spelling of 105424341 in words is "one hundred five million, four hundred twenty-four thousand, three hundred forty-one".

Divisors: 1 3 11 23 33 69 253 759 138899 416697 1527889 3194677 4583667 9584031 35141447 105424341