105505106035 has 8 divisors (see below), whose sum is σ = 144692716896. Its totient is φ = 72346358400.

The previous prime is 105505105997. The next prime is 105505106071. The reversal of 105505106035 is 530601505501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105505106035 - 2¹⁹ = 105504581747 is a prime.

It is a super-2 number, since 2×105505106035² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105505105988 and 105505106006.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1507215766 + ... + 1507215835.

It is an arithmetic number, because the mean of its divisors is an integer number (18086589612).

Almost surely, 2^105505106035 is an apocalyptic number.

105505106035 is a deficient number, since it is larger than the sum of its proper divisors (39187610861).

105505106035 is an equidigital number, since it uses as much as digits as its factorization.

105505106035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014431613.

The product of its (nonzero) digits is 11250, while the sum is 31.

The spelling of 105505106035 in words is "one hundred five billion, five hundred five million, one hundred six thousand, thirty-five".