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105345361 = 119576851
BaseRepresentation
bin1100100011101…
…11000101010001
321100020002200001
412101313011101
5203432022421
614241530001
72416264222
oct621670521
9240202601
10105345361
1154512590
122b343901
1318a95844
14ddc3249
1593ad691
hex6477151

105345361 has 4 divisors (see below), whose sum is σ = 114922224. Its totient is φ = 95768500.

The previous prime is 105345349. The next prime is 105345389. The reversal of 105345361 is 163543501.

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.

It is a cyclic number.

It is not a de Polignac number, because 105345361 - 217 = 105214289 is a prime.

It is a super-2 number, since 2×1053453612 = 22195290168440642, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105345761) 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, 4788415 + ... + 4788436.

It is an arithmetic number, because the mean of its divisors is an integer number (28730556).

Almost surely, 2105345361 is an apocalyptic number.

105345361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105345361 is a deficient number, since it is larger than the sum of its proper divisors (9576863).

105345361 is an equidigital number, since it uses as much as digits as its factorization.

105345361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9576862.

The product of its (nonzero) digits is 5400, while the sum is 28.

The square root of 105345361 is about 10263.7888228470. The cubic root of 105345361 is about 472.2860724510.

Adding to 105345361 its reverse (163543501), we get a palindrome (268888862).

The spelling of 105345361 in words is "one hundred five million, three hundred forty-five thousand, three hundred sixty-one".

Divisors: 1 11 9576851 105345361