22105354400 has 144 divisors (see below), whose sum is σ = 56147968800. Its totient is φ = 8487951360.

The previous prime is 22105354307. The next prime is 22105354457. The reversal of 22105354400 is 445350122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 22105354400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4150139 + ... + 4155461.

It is an arithmetic number, because the mean of its divisors is an integer number (389916450).

Almost surely, 2^22105354400 is an apocalyptic number.

22105354400 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 22105354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28073984400).

22105354400 is an abundant number, since it is smaller than the sum of its proper divisors (34042614400).

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

22105354400 is a wasteful number, since it uses less digits than its factorization.

22105354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5551 (or 5538 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 22105354400 in words is "twenty-two billion, one hundred five million, three hundred fifty-four thousand, four hundred".