105080582448 has 320 divisors, whose sum is σ = 326093414400. Its totient is φ = 32302955520.

The previous prime is 105080582437. The next prime is 105080582459. The reversal of 105080582448 is 844285080501.

105080582448 is a `hidden beast` number, since 1 + 0 + 50 + 80 + 5 + 82 + 448 = 666.

It is an interprime number because it is at equal distance from previous prime (105080582437) and next prime (105080582459).

It is a super-2 number, since 2×105080582448² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 119817786 + ... + 119818662.

It is an arithmetic number, because the mean of its divisors is an integer number (1019041920).

Almost surely, 2^105080582448 is an apocalyptic number.

105080582448 is a gapful number since it is divisible by the number (18) 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 105080582448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163046707200).

105080582448 is an abundant number, since it is smaller than the sum of its proper divisors (221012831952).

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

105080582448 is a wasteful number, since it uses less digits than its factorization.

105080582448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1337 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 105080582448 in words is "one hundred five billion, eighty million, five hundred eighty-two thousand, four hundred forty-eight".