10327627100 has 144 divisors (see below), whose sum is σ = 26277484800. Its totient is φ = 3521649600.

The previous prime is 10327627097. The next prime is 10327627133. The reversal of 10327627100 is 172672301.

10327627100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 47 ways as a sum of consecutive naturals, for example, 7236587 + ... + 7238013.

Almost surely, 2^10327627100 is an apocalyptic number.

10327627100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10327627100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13138742400).

10327627100 is an abundant number, since it is smaller than the sum of its proper divisors (15949857700).

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

10327627100 is a wasteful number, since it uses less digits than its factorization.

10327627100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 29.

The spelling of 10327627100 in words is "ten billion, three hundred twenty-seven million, six hundred twenty-seven thousand, one hundred".