105456218806800 has 360 divisors, whose sum is σ = 382517927535744. Its totient is φ = 26853604208640.

The previous prime is 105456218806753. The next prime is 105456218806853. The reversal of 105456218806800 is 8608812654501.

105456218806800 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 5 + 621 + 8 + 8 + 0 + 6 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×105456218806800² (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 (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48026517 + ... + 50174283.

Almost surely, 2^{105456218806800} is an apocalyptic number.

105456218806800 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 105456218806800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191258963767872).

105456218806800 is an abundant number, since it is smaller than the sum of its proper divisors (277061708728944).

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

105456218806800 is a wasteful number, since it uses less digits than its factorization.

105456218806800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2148407 (or 2148393 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 105456218806800 in words is "one hundred five trillion, four hundred fifty-six billion, two hundred eighteen million, eight hundred six thousand, eight hundred".