10116055700 has 36 divisors (see below), whose sum is σ = 23243129532. Its totient is φ = 3808396800.

The previous prime is 10116055679. The next prime is 10116055777. The reversal of 10116055700 is 755061101.

10116055700 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 6 ways, for example, as 123254404 + 9992801296 = 11102^2 + 99964^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10116055700.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 2973611 + ... + 2977010.

It is an arithmetic number, because the mean of its divisors is an integer number (645642487).

Almost surely, 2^10116055700 is an apocalyptic number.

10116055700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10116055700 is an abundant number, since it is smaller than the sum of its proper divisors (13127073832).

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

10116055700 is a wasteful number, since it uses less digits than its factorization.

10116055700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5950652 (or 5950645 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 26.

The spelling of 10116055700 in words is "ten billion, one hundred sixteen million, fifty-five thousand, seven hundred".