105005605505 has 8 divisors (see below), whose sum is σ = 126028305000. Its totient is φ = 83990098816.

The previous prime is 105005605501. The next prime is 105005605517. The reversal of 105005605505 is 505506500501.

It can be written as a sum of positive squares in 4 ways, for example, as 2748275776 + 102257329729 = 52424^2 + 319777^2 .

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 105005605505 - 2² = 105005605501 is a prime.

It is a super-2 number, since 2×105005605505² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105005605501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1766030 + ... + 1824519.

It is an arithmetic number, because the mean of its divisors is an integer number (15753538125).

Almost surely, 2^105005605505 is an apocalyptic number.

It is an amenable number.

105005605505 is a deficient number, since it is larger than the sum of its proper divisors (21022699495).

105005605505 is an equidigital number, since it uses as much as digits as its factorization.

105005605505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3596403.

The product of its (nonzero) digits is 18750, while the sum is 32.

The spelling of 105005605505 in words is "one hundred five billion, five million, six hundred five thousand, five hundred five".