105312228019200 has 396 divisors, whose sum is σ = 391033088209400. Its totient is φ = 28083259146240.

The previous prime is 105312228019171. The next prime is 105312228019213. The reversal of 105312228019200 is 2910822213501.

105312228019200 is a `hidden beast` number, since 1 + 0 + 53 + 122 + 280 + 1 + 9 + 200 = 666.

It is a super-2 number, since 2×105312228019200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 2243725 + ... + 14685324.

Almost surely, 2^{105312228019200} is an apocalyptic number.

105312228019200 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 105312228019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195516544104700).

105312228019200 is an abundant number, since it is smaller than the sum of its proper divisors (285720860190200).

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

105312228019200 is an equidigital number, since it uses as much as digits as its factorization.

105312228019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16929094 (or 16929059 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 105312228019200 in words is "one hundred five trillion, three hundred twelve billion, two hundred twenty-eight million, nineteen thousand, two hundred".