10805361768 has 40 divisors (see below), whose sum is σ = 30265019730. Its totient is φ = 3601787040.

The previous prime is 10805361757. The next prime is 10805361793. The reversal of 10805361768 is 86716350801.

10805361768 is a `hidden beast` number, since 108 + 0 + 536 + 1 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10641572964 + 163788804 = 103158^2 + 12798^2 .

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 9 ways as a sum of consecutive naturals, for example, 8336823 + ... + 8338118.

Almost surely, 2^10805361768 is an apocalyptic number.

10805361768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10805361768 is an abundant number, since it is smaller than the sum of its proper divisors (19459657962).

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

10805361768 is a wasteful number, since it uses less digits than its factorization.

10805361768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16674959 (or 16674946 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 10805361768 in words is "ten billion, eight hundred five million, three hundred sixty-one thousand, seven hundred sixty-eight".