105321240520000 has 140 divisors (see below), whose sum is σ = 261322146785700. Its totient is φ = 42102734848000.

The previous prime is 105321240519991. The next prime is 105321240520057. The reversal of 105321240520000 is 25042123501.

It can be written as a sum of positive squares in 10 ways, for example, as 74710161398016 + 30611079121984 = 8643504^2 + 5532728^2 .

It is a super-2 number, since 2×105321240520000² (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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64675776 + ... + 66284224.

It is an arithmetic number, because the mean of its divisors is an integer number (1866586762755).

Almost surely, 2^{105321240520000} is an apocalyptic number.

105321240520000 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 105321240520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130661073392850).

105321240520000 is an abundant number, since it is smaller than the sum of its proper divisors (156000906265700).

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

105321240520000 is an equidigital number, since it uses as much as digits as its factorization.

105321240520000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1610118 (or 1610093 counting only the distinct ones).

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

Adding to 105321240520000 its reverse (25042123501), we get a palindrome (105346282643501).

The spelling of 105321240520000 in words is "one hundred five trillion, three hundred twenty-one billion, two hundred forty million, five hundred twenty thousand".