105327331200 has 576 divisors, whose sum is σ = 462574039200. Its totient is φ = 22222356480.

The previous prime is 105327331181. The next prime is 105327331201. The reversal of 105327331200 is 2133723501.

105327331200 is a `hidden beast` number, since 1 + 0 + 5 + 327 + 331 + 2 + 0 + 0 = 666.

105327331200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×105327331200² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105327331201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2600706 + ... + 2640894.

Almost surely, 2^105327331200 is an apocalyptic number.

105327331200 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 105327331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231287019600).

105327331200 is an abundant number, since it is smaller than the sum of its proper divisors (357246708000).

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

105327331200 is a wasteful number, since it uses less digits than its factorization.

105327331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40239 (or 40219 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The spelling of 105327331200 in words is "one hundred five billion, three hundred twenty-seven million, three hundred thirty-one thousand, two hundred".