10105320245440 has 224 divisors, whose sum is σ = 27664368205824. Its totient is φ = 3444113571840.

The previous prime is 10105320245389. The next prime is 10105320245479. The reversal of 10105320245440 is 4454202350101.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 670417744 + ... + 670432816.

It is an arithmetic number, because the mean of its divisors is an integer number (123501643776).

Almost surely, 2^{10105320245440} is an apocalyptic number.

10105320245440 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 10105320245440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13832184102912).

10105320245440 is an abundant number, since it is smaller than the sum of its proper divisors (17559047960384).

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

10105320245440 is a wasteful number, since it uses less digits than its factorization.

10105320245440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16855 (or 16845 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 10105320245440 its reverse (4454202350101), we get a palindrome (14559522595541).

The spelling of 10105320245440 in words is "ten trillion, one hundred five billion, three hundred twenty million, two hundred forty-five thousand, four hundred forty".