10005118200 has 576 divisors, whose sum is σ = 43045816320. Its totient is φ = 2021760000.

The previous prime is 10005118187. The next prime is 10005118229. The reversal of 10005118200 is 281150001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5127225 + ... + 5129175.

It is an arithmetic number, because the mean of its divisors is an integer number (74732320).

Almost surely, 2^10005118200 is an apocalyptic number.

10005118200 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 10005118200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21522908160).

10005118200 is an abundant number, since it is smaller than the sum of its proper divisors (33040698120).

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

10005118200 is a wasteful number, since it uses less digits than its factorization.

10005118200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2016 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 10005118200 its reverse (281150001), we get a palindrome (10286268201).

The spelling of 10005118200 in words is "ten billion, five million, one hundred eighteen thousand, two hundred".