21200116 has 48 divisors (see below), whose sum is σ = 44311680. Its totient is φ = 8686080.

The previous prime is 21200093. The next prime is 21200117. The reversal of 21200116 is 61100212.

It is a junction number, because it is equal to n+sod(n) for n = 21200096 and 21200105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21200117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67576 + ... + 67888.

It is an arithmetic number, because the mean of its divisors is an integer number (923160).

Almost surely, 2^21200116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21200116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22155840).

21200116 is an abundant number, since it is smaller than the sum of its proper divisors (23111564).

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

21200116 is a wasteful number, since it uses less digits than its factorization.

21200116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 21200116 is about 4604.3583700663. The cubic root of 21200116 is about 276.7660055204.

Adding to 21200116 its reverse (61100212), we get a palindrome (82300328).

It can be divided in two parts, 21200 and 116, that added together give a square (21316 = 146²).

The spelling of 21200116 in words is "twenty-one million, two hundred thousand, one hundred sixteen".