20205088100 has 36 divisors (see below), whose sum is σ = 43867960500. Its totient is φ = 8077810560.

The previous prime is 20205088097. The next prime is 20205088159. The reversal of 20205088100 is 188050202.

It can be written as a sum of positive squares in 6 ways, for example, as 401281024 + 19803807076 = 20032^2 + 140726^2 .

It is a super-2 number, since 2×20205088100² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20205088100.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 143066 + ... + 246734.

Almost surely, 2^20205088100 is an apocalyptic number.

20205088100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20205088100 is an abundant number, since it is smaller than the sum of its proper divisors (23662872400).

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

20205088100 is a wasteful number, since it uses less digits than its factorization.

20205088100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105632 (or 105625 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The spelling of 20205088100 in words is "twenty billion, two hundred five million, eighty-eight thousand, one hundred".