10551056100 has 144 divisors (see below), whose sum is σ = 32937558528. Its totient is φ = 2592322560.

The previous prime is 10551056077. The next prime is 10551056141. The reversal of 10551056100 is 165015501.

10551056100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10551056100² (a number of 21 digits) contains 22 as substring.

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, 2365072 + ... + 2369528.

Almost surely, 2^10551056100 is an apocalyptic number.

10551056100 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 10551056100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16468779264).

10551056100 is an abundant number, since it is smaller than the sum of its proper divisors (22386502428).

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

10551056100 is a wasteful number, since it uses less digits than its factorization.

10551056100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5094 (or 5087 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 10551056100 in words is "ten billion, five hundred fifty-one million, fifty-six thousand, one hundred".