20100505200 has 120 divisors (see below), whose sum is σ = 64531273008. Its totient is φ = 5348259840.

The previous prime is 20100505199. The next prime is 20100505261. The reversal of 20100505200 is 250500102.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20100505200.

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 23 ways as a sum of consecutive naturals, for example, 530074 + ... + 566726.

Almost surely, 2^20100505200 is an apocalyptic number.

20100505200 is a gapful number since it is divisible by the number (20) 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 20100505200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32265636504).

20100505200 is an abundant number, since it is smaller than the sum of its proper divisors (44430767808).

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

20100505200 is a wasteful number, since it uses less digits than its factorization.

20100505200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37131 (or 37120 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The spelling of 20100505200 in words is "twenty billion, one hundred million, five hundred five thousand, two hundred".