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105605329 = 711487399
BaseRepresentation
bin1100100101101…
…10100011010001
321100201022021111
412102312203101
5204013332304
614251253321
72421426154
oct622664321
9240638244
10105605329
115467a935
122b44a241
1318b56c7b
141004dc9b
159410704
hex64b68d1

105605329 has 4 divisors (see below), whose sum is σ = 107092800. Its totient is φ = 104117860.

The previous prime is 105605303. The next prime is 105605341. The reversal of 105605329 is 923506501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 923506501 = 1542759863.

It is a cyclic number.

It is not a de Polignac number, because 105605329 - 215 = 105572561 is a prime.

It is a super-2 number, since 2×1056053292 = 22304971026396482, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105605329.

It is not an unprimeable number, because it can be changed into a prime (105605399) 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 3 ways as a sum of consecutive naturals, for example, 743629 + ... + 743770.

It is an arithmetic number, because the mean of its divisors is an integer number (26773200).

Almost surely, 2105605329 is an apocalyptic number.

It is an amenable number.

105605329 is a deficient number, since it is larger than the sum of its proper divisors (1487471).

105605329 is an equidigital number, since it uses as much as digits as its factorization.

105605329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487470.

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 105605329 is about 10276.4453484656. The cubic root of 105605329 is about 472.6742509330.

The spelling of 105605329 in words is "one hundred five million, six hundred five thousand, three hundred twenty-nine".

Divisors: 1 71 1487399 105605329