105252223120000 has 320 divisors, whose sum is σ = 286635793435200. Its totient is φ = 38166809600000.

The previous prime is 105252223119997. The next prime is 105252223120039. The reversal of 105252223120000 is 21322252501.

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

It is a super-2 number, since 2×105252223120000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 315753420 + ... + 316086580.

It is an arithmetic number, because the mean of its divisors is an integer number (895736854485).

Almost surely, 2^{105252223120000} is an apocalyptic number.

105252223120000 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 105252223120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143317896717600).

105252223120000 is an abundant number, since it is smaller than the sum of its proper divisors (181383570315200).

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

105252223120000 is an equidigital number, since it uses as much as digits as its factorization.

105252223120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333565 (or 333538 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 105252223120000 its reverse (21322252501), we get a palindrome (105273545372501).

The spelling of 105252223120000 in words is "one hundred five trillion, two hundred fifty-two billion, two hundred twenty-three million, one hundred twenty thousand".