105448404844500 has 192 divisors, whose sum is σ = 316374977038848. Its totient is φ = 27279711360000.

The previous prime is 105448404844469. The next prime is 105448404844501. The reversal of 105448404844500 is 5448404844501.

It is a super-2 number, since 2×105448404844500² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105448404844501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1213936 + ... + 14572935.

It is an arithmetic number, because the mean of its divisors is an integer number (1647786338744).

Almost surely, 2^{105448404844500} is an apocalyptic number.

105448404844500 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 105448404844500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158187488519424).

105448404844500 is an abundant number, since it is smaller than the sum of its proper divisors (210926572194348).

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

105448404844500 is a wasteful number, since it uses less digits than its factorization.

105448404844500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15787027 (or 15787015 counting only the distinct ones).

The product of its (nonzero) digits is 6553600, while the sum is 51.

Subtracting from 105448404844500 its reverse (5448404844501), we obtain a palindrome (99999999999999).

The spelling of 105448404844500 in words is "one hundred five trillion, four hundred forty-eight billion, four hundred four million, eight hundred forty-four thousand, five hundred".