10921588010 has 16 divisors (see below), whose sum is σ = 19660185000. Its totient is φ = 4368340416.

The previous prime is 10921587983. The next prime is 10921588033. The reversal of 10921588010 is 1088512901.

10921588010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 10852847329 + 68740681 = 104177^2 + 8291^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178916 + ... + 232064.

Almost surely, 2^10921588010 is an apocalyptic number.

10921588010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10921588010 is a deficient number, since it is larger than the sum of its proper divisors (8738596990).

10921588010 is a wasteful number, since it uses less digits than its factorization.

10921588010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73705.

The product of its (nonzero) digits is 5760, while the sum is 35.

The spelling of 10921588010 in words is "ten billion, nine hundred twenty-one million, five hundred eighty-eight thousand, ten".