20216100 has 72 divisors (see below), whose sum is σ = 59301760. Its totient is φ = 5316480.

The previous prime is 20216099. The next prime is 20216137. The reversal of 20216100 is 161202.

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, 23274 + ... + 24126.

Almost surely, 2^20216100 is an apocalyptic number.

20216100 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 20216100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29650880).

20216100 is an abundant number, since it is smaller than the sum of its proper divisors (39085660).

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

20216100 is a wasteful number, since it uses less digits than its factorization.

20216100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 20216100 is about 4496.2317555927. The cubic root of 20216100 is about 272.4159042467.

Adding to 20216100 its reverse (161202), we get a palindrome (20377302).

The spelling of 20216100 in words is "twenty million, two hundred sixteen thousand, one hundred".