1001105305 has 4 divisors (see below), whose sum is σ = 1201326372. Its totient is φ = 800884240.

The previous prime is 1001105297. The next prime is 1001105309. The reversal of 1001105305 is 5035011001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 670447449 + 330657856 = 25893^2 + 18184^2 .

It is not a de Polignac number, because 1001105305 - 2³ = 1001105297 is a prime.

It is a super-3 number, since 3×1001105305³ (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1001105309) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 100110526 + ... + 100110535.

It is an arithmetic number, because the mean of its divisors is an integer number (300331593).

Almost surely, 2^1001105305 is an apocalyptic number.

It is an amenable number.

1001105305 is a deficient number, since it is larger than the sum of its proper divisors (200221067).

1001105305 is an equidigital number, since it uses as much as digits as its factorization.

1001105305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200221066.

The product of its (nonzero) digits is 75, while the sum is 16.

The square root of 1001105305 is about 31640.2481817068. The cubic root of 1001105305 is about 1000.3682993389.

Adding to 1001105305 its reverse (5035011001), we get a palindrome (6036116306).

The spelling of 1001105305 in words is "one billion, one million, one hundred five thousand, three hundred five".