105993204480000 has 2400 divisors, whose sum is σ = 407630932909200. Its totient is φ = 27423277056000.

The previous prime is 105993204479969. The next prime is 105993204480011. The reversal of 105993204480000 is 84402399501.

105993204480000 is a `hidden beast` number, since 10 + 59 + 93 + 20 + 4 + 480 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-2 number, since 2×105993204480000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 199 ways as a sum of consecutive naturals, for example, 937992959944 + ... + 937992960056.

Almost surely, 2^{105993204480000} is an apocalyptic number.

105993204480000 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 105993204480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203815466454600).

105993204480000 is an abundant number, since it is smaller than the sum of its proper divisors (301637728429200).

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

105993204480000 is an equidigital number, since it uses as much as digits as its factorization.

105993204480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 105993204480000 in words is "one hundred five trillion, nine hundred ninety-three billion, two hundred four million, four hundred eighty thousand".