10550005100 has 72 divisors (see below), whose sum is σ = 23395690080. Its totient is φ = 4127918080.

The previous prime is 10550005073. The next prime is 10550005111. The reversal of 10550005100 is 150005501.

10550005100 = 341² + 342² + ... + 3164².

10550005100 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 2×10550005100² (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 23 ways as a sum of consecutive naturals, for example, 1868081 + ... + 1873719.

It is an arithmetic number, because the mean of its divisors is an integer number (324940140).

Almost surely, 2^10550005100 is an apocalyptic number.

10550005100 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 10550005100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11697845040).

10550005100 is an abundant number, since it is smaller than the sum of its proper divisors (12845684980).

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

10550005100 is a wasteful number, since it uses less digits than its factorization.

10550005100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6059 (or 6052 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 17.

The spelling of 10550005100 in words is "ten billion, five hundred fifty million, five thousand, one hundred".