105485313444 has 96 divisors (see below), whose sum is σ = 284448095232. Its totient is φ = 29801520000.

The previous prime is 105485313383. The next prime is 105485313509. The reversal of 105485313444 is 444313584501.

It is a super-2 number, since 2×105485313444² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 105485313396 and 105485313405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6872859 + ... + 6888189.

It is an arithmetic number, because the mean of its divisors is an integer number (2963000992).

Almost surely, 2^105485313444 is an apocalyptic number.

105485313444 is a gapful number since it is divisible by the number (14) 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 105485313444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142224047616).

105485313444 is an abundant number, since it is smaller than the sum of its proper divisors (178962781788).

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

105485313444 is a wasteful number, since it uses less digits than its factorization.

105485313444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16257 (or 16255 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

Adding to 105485313444 its reverse (444313584501), we get a palindrome (549798897945).

The spelling of 105485313444 in words is "one hundred five billion, four hundred eighty-five million, three hundred thirteen thousand, four hundred forty-four".