105469643980800 has 3456 divisors, whose sum is σ = 453571982035200. Its totient is φ = 23781703680000.

The previous prime is 105469643980769. The next prime is 105469643980859. The reversal of 105469643980800 is 8089346964501.

105469643980800 is a `hidden beast` number, since 1 + 0 + 5 + 46 + 9 + 6 + 439 + 80 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×105469643980800² (a number of 29 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 191 ways as a sum of consecutive naturals, for example, 1044253900750 + ... + 1044253900850.

It is an arithmetic number, because the mean of its divisors is an integer number (131241892950).

Almost surely, 2^{105469643980800} is an apocalyptic number.

105469643980800 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 105469643980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226785991017600).

105469643980800 is an abundant number, since it is smaller than the sum of its proper divisors (348102338054400).

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

105469643980800 is a wasteful number, since it uses less digits than its factorization.

105469643980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 105469643980800 in words is "one hundred five trillion, four hundred sixty-nine billion, six hundred forty-three million, nine hundred eighty thousand, eight hundred".