105404450448 has 160 divisors (see below), whose sum is σ = 303034711680. Its totient is φ = 31298641920.

The previous prime is 105404450441. The next prime is 105404450477. The reversal of 105404450448 is 844054404501.

It is a super-2 number, since 2×105404450448² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105404450441) by changing a digit.

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, 28233990 + ... + 28237722.

It is an arithmetic number, because the mean of its divisors is an integer number (1893966948).

Almost surely, 2^105404450448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105404450448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151517355840).

105404450448 is an abundant number, since it is smaller than the sum of its proper divisors (197630261232).

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

105404450448 is a wasteful number, since it uses less digits than its factorization.

105404450448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 39.

Adding to 105404450448 its reverse (844054404501), we get a palindrome (949458854949).

The spelling of 105404450448 in words is "one hundred five billion, four hundred four million, four hundred fifty thousand, four hundred forty-eight".