105224400 has 120 divisors (see below), whose sum is σ = 374559360. Its totient is φ = 28056960.

The previous prime is 105224389. The next prime is 105224401. The reversal of 105224400 is 4422501.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×105224400² = 22144348710720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105224401) 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, 5929 + ... + 15671.

It is an arithmetic number, because the mean of its divisors is an integer number (3121328).

Almost surely, 2^105224400 is an apocalyptic number.

105224400 is a gapful number since it is divisible by the number (10) 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 105224400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187279680).

105224400 is an abundant number, since it is smaller than the sum of its proper divisors (269334960).

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

105224400 is a wasteful number, since it uses less digits than its factorization.

105224400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9770 (or 9753 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 105224400 is about 10257.8945208069. The cubic root of 105224400 is about 472.1052384319.

Adding to 105224400 its reverse (4422501), we get a palindrome (109646901).

It can be divided in two parts, 1052 and 24400, that added together give a palindrome (25452).

The spelling of 105224400 in words is "one hundred five million, two hundred twenty-four thousand, four hundred".