20080100 has 36 divisors (see below), whose sum is σ = 43984164. Its totient is φ = 7956480.

The previous prime is 20080087. The next prime is 20080103. The reversal of 20080100 is 108002.

It can be written as a sum of positive squares in 6 ways, for example, as 4032064 + 16048036 = 2008^2 + 4006^2 .

It is not an unprimeable number, because it can be changed into a prime (20080103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10412 + ... + 12188.

Almost surely, 2^20080100 is an apocalyptic number.

20080100 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 20080100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21992082).

20080100 is an abundant number, since it is smaller than the sum of its proper divisors (23904064).

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

20080100 is a wasteful number, since it uses less digits than its factorization.

20080100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 20080100 is about 4481.0824585138. The cubic root of 20080100 is about 271.8036537145.

Adding to 20080100 its reverse (108002), we get a palindrome (20188102).

The spelling of 20080100 in words is "twenty million, eighty thousand, one hundred".