105811319808 has 132 divisors (see below), whose sum is σ = 321608837160. Its totient is φ = 33414045696.

The previous prime is 105811319753. The next prime is 105811319821. The reversal of 105811319808 is 808913118501.

It is a super-2 number, since 2×105811319808² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 127035 + ... + 477242.

Almost surely, 2^105811319808 is an apocalyptic number.

105811319808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105811319808 is an abundant number, since it is smaller than the sum of its proper divisors (215797517352).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105811319808 is a wasteful number, since it uses less digits than its factorization.

105811319808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604322 (or 604301 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 45.

The spelling of 105811319808 in words is "one hundred five billion, eight hundred eleven million, three hundred nineteen thousand, eight hundred eight".