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105440329 = 195639857
BaseRepresentation
bin1100100100011…
…10010001001001
321100101220221101
412102032101021
5203443042304
614243541401
72420141131
oct622162111
9240356841
10105440329
1154577975
122b38a861
1318ac9b37
1410009ac1
1593cb8a4
hex648e449

105440329 has 8 divisors (see below), whose sum is σ = 111198240. Its totient is φ = 99703296.

The previous prime is 105440311. The next prime is 105440371. The reversal of 105440329 is 923044501.

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 105440329 - 213 = 105432137 is a prime.

It is a super-2 number, since 2×1054403292 = 22235325959256482, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105440297 and 105440306.

It is not an unprimeable number, because it can be changed into a prime (105440389) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5769 + ... + 15625.

It is an arithmetic number, because the mean of its divisors is an integer number (13899780).

Almost surely, 2105440329 is an apocalyptic number.

105440329 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

105440329 is a deficient number, since it is larger than the sum of its proper divisors (5757911).

105440329 is an equidigital number, since it uses as much as digits as its factorization.

105440329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10439.

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 105440329 is about 10268.4141424078. The cubic root of 105440329 is about 472.4279505306.

The spelling of 105440329 in words is "one hundred five million, four hundred forty thousand, three hundred twenty-nine".

Divisors: 1 19 563 9857 10697 187283 5549491 105440329