105466400556000 has 768 divisors, whose sum is σ = 378163123752960. Its totient is φ = 25483315200000.

The previous prime is 105466400555977. The next prime is 105466400556007. The reversal of 105466400556000 is 655004664501.

It is a super-2 number, since 2×105466400556000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105466400556007) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 96140747452 + ... + 96140748548.

It is an arithmetic number, because the mean of its divisors is an integer number (492399900720).

Almost surely, 2^{105466400556000} is an apocalyptic number.

105466400556000 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 105466400556000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189081561876480).

105466400556000 is an abundant number, since it is smaller than the sum of its proper divisors (272696723196960).

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

105466400556000 is a wasteful number, since it uses less digits than its factorization.

105466400556000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 42.

The spelling of 105466400556000 in words is "one hundred five trillion, four hundred sixty-six billion, four hundred million, five hundred fifty-six thousand".