105444084348408 has 256 divisors, whose sum is σ = 289767053721600. Its totient is φ = 31776601167360.

The previous prime is 105444084348367. The next prime is 105444084348437. The reversal of 105444084348408 is 804843480444501.

It is a Cunningham number, because it is equal to 10268597²-1.

It is a super-2 number, since 2×105444084348408² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19161197385 + ... + 19161202887.

It is an arithmetic number, because the mean of its divisors is an integer number (1131902553600).

Almost surely, 2^{105444084348408} 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 105444084348408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144883526860800).

105444084348408 is an abundant number, since it is smaller than the sum of its proper divisors (184322969373192).

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

105444084348408 is a wasteful number, since it uses less digits than its factorization.

105444084348408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9242 (or 9238 counting only the distinct ones).

The product of its (nonzero) digits is 31457280, while the sum is 57.

The spelling of 105444084348408 in words is "one hundred five trillion, four hundred forty-four billion, eighty-four million, three hundred forty-eight thousand, four hundred eight".