22105300 has 72 divisors (see below), whose sum is σ = 57246336. Its totient is φ = 7244160.

The previous prime is 22105283. The next prime is 22105301. The reversal of 22105300 is 350122.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22105301) by changing a digit.

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, 15414 + ... + 16786.

It is an arithmetic number, because the mean of its divisors is an integer number (795088).

Almost surely, 2^22105300 is an apocalyptic number.

22105300 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 22105300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28623168).

22105300 is an abundant number, since it is smaller than the sum of its proper divisors (35141036).

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

22105300 is a wasteful number, since it uses less digits than its factorization.

22105300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 22105300 is about 4701.6273778342. The cubic root of 22105300 is about 280.6502743426.

Adding to 22105300 its reverse (350122), we get a palindrome (22455422).

The spelling of 22105300 in words is "twenty-two million, one hundred five thousand, three hundred".