105452224000 has 320 divisors, whose sum is σ = 281421309312. Its totient is φ = 39272448000.

The previous prime is 105452223991. The next prime is 105452224001. The reversal of 105452224000 is 422254501.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-3 number, since 3×105452224000³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105452224001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 112063530 + ... + 112064470.

Almost surely, 2^105452224000 is an apocalyptic number.

105452224000 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 105452224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140710654656).

105452224000 is an abundant number, since it is smaller than the sum of its proper divisors (175969085312).

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

105452224000 is an equidigital number, since it uses as much as digits as its factorization.

105452224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1094 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

Adding to 105452224000 its reverse (422254501), we get a palindrome (105874478501).

The spelling of 105452224000 in words is "one hundred five billion, four hundred fifty-two million, two hundred twenty-four thousand".