105966399723984 has 120 divisors (see below), whose sum is σ = 315291330956160. Its totient is φ = 33148909238016.

The previous prime is 105966399723983. The next prime is 105966399724001. The reversal of 105966399723984 is 489327993669501.

105966399723984 is a `hidden beast` number, since 1 + 0 + 59 + 6 + 6 + 399 + 72 + 39 + 84 = 666.

It is a super-2 number, since 2×105966399723984² (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 (105966399723983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301661124 + ... + 302012195.

It is an arithmetic number, because the mean of its divisors is an integer number (2627427757968).

It is a 1-persistent number, because it is pandigital, but 2⋅105966399723984 = 211932799447968 is not.

Almost surely, 2^{105966399723984} is an apocalyptic number.

It is an amenable number.

105966399723984 is an abundant number, since it is smaller than the sum of its proper divisors (209324931232176).

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

105966399723984 is a wasteful number, since it uses less digits than its factorization.

105966399723984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603673409 (or 603673400 counting only the distinct ones).

The product of its (nonzero) digits is 4761711360, while the sum is 81.

The spelling of 105966399723984 in words is "one hundred five trillion, nine hundred sixty-six billion, three hundred ninety-nine million, seven hundred twenty-three thousand, nine hundred eighty-four".