20108100 has 72 divisors (see below), whose sum is σ = 58864288. Its totient is φ = 5299200.

The previous prime is 20108083. The next prime is 20108111. The reversal of 20108100 is 180102.

It is a happy number.

It is a super-2 number, since 2×20108100² = 808671371220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28755 + ... + 29445.

Almost surely, 2^20108100 is an apocalyptic number.

20108100 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 20108100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29432144).

20108100 is an abundant number, since it is smaller than the sum of its proper divisors (38756188).

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

20108100 is a wasteful number, since it uses less digits than its factorization.

20108100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 20108100 is about 4484.2056152679. The cubic root of 20108100 is about 271.9299307690.

Adding to 20108100 its reverse (180102), we get a palindrome (20288202).

The spelling of 20108100 in words is "twenty million, one hundred eight thousand, one hundred".