22105200 has 180 divisors, whose sum is σ = 77379720. Its totient is φ = 5391360.

The previous prime is 22105177. The next prime is 22105207. The reversal of 22105200 is 250122.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22105207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 202746 + ... + 202854.

Almost surely, 2^22105200 is an apocalyptic number.

22105200 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 22105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38689860).

22105200 is an abundant number, since it is smaller than the sum of its proper divisors (55274520).

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

22105200 is a wasteful number, since it uses less digits than its factorization.

22105200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 22105200 is about 4701.6167432065. The cubic root of 22105200 is about 280.6498511399.

Adding to 22105200 its reverse (250122), we get a palindrome (22355322).

The spelling of 22105200 in words is "twenty-two million, one hundred five thousand, two hundred".