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105905327369 = 391727037357
BaseRepresentation
bin110001010100001110…
…0110000110100001001
3101010100201120001111012
41202220130300310021
53213343230433434
6120352514413305
710436301300242
oct1425034606411
9333321501435
10105905327369
1140a06883a46
1218637591235
139caa0ab7aa
1451a9467cc9
152b4c8c13ce
hex18a8730d09

105905327369 has 4 divisors (see below), whose sum is σ = 105932368644. Its totient is φ = 105878286096.

The previous prime is 105905327299. The next prime is 105905327371. The reversal of 105905327369 is 963723509501.

It is a happy number.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 963723509501 = 1055991270339.

It can be written as a sum of positive squares in 2 ways, for example, as 94732837369 + 11172490000 = 307787^2 + 105700^2 .

It is a cyclic number.

It is not a de Polignac number, because 105905327369 - 232 = 101610360073 is a prime.

It is a super-2 number, since 2×1059053273692 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105905527369) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13514762 + ... + 13522595.

It is an arithmetic number, because the mean of its divisors is an integer number (26483092161).

Almost surely, 2105905327369 is an apocalyptic number.

It is an amenable number.

105905327369 is a deficient number, since it is larger than the sum of its proper divisors (27041275).

105905327369 is an equidigital number, since it uses as much as digits as its factorization.

105905327369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27041274.

The product of its (nonzero) digits is 1530900, while the sum is 50.

The spelling of 105905327369 in words is "one hundred five billion, nine hundred five million, three hundred twenty-seven thousand, three hundred sixty-nine".

Divisors: 1 3917 27037357 105905327369