11105486217 has 48 divisors (see below), whose sum is σ = 18533981440. Its totient is φ = 6276756096.

The previous prime is 11105486213. The next prime is 11105486251. The reversal of 11105486217 is 71268450111.

11105486217 is a `hidden beast` number, since 11 + 10 + 5 + 4 + 8 + 621 + 7 = 666.

It is not a de Polignac number, because 11105486217 - 2² = 11105486213 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11105486213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2262588 + ... + 2267490.

Almost surely, 2^11105486217 is an apocalyptic number.

It is an amenable number.

11105486217 is a deficient number, since it is larger than the sum of its proper divisors (7428495223).

11105486217 is a wasteful number, since it uses less digits than its factorization.

11105486217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5302 (or 5299 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

It can be divided in two parts, 1110548 and 6217, that added together give a triangular number (1116765 = T₁₄₉₄).

The spelling of 11105486217 in words is "eleven billion, one hundred five million, four hundred eighty-six thousand, two hundred seventeen".