The exact factorial of 105 is:

1081396758240290900504101305800329649720646107774902579144176636573226531909905153326984536526808240339776398934872029657993872907813436816097280000000000000000000000000

📌 Number of digits in the exact factorial of 105! = 169.

Approximately, the value of 105! can also be written as 1.081396758 E+168.

How to calculate 105!

The formula for finding the factorial of a number is:

n! = n × (n-1) × (n-2) × … × 2 × 1

The same formula can also be written in terms of PI product notation as:

Factorial Formula

So, by definition, 105! is calculated as:

105 × 104 × 103 × … × 2 × 1

Also see:

Frequently asked questions

Here are some frequently asked questions about factorial of 105:

How many digits are there in the exact value of 105!?

There are 169 digits in the exact value of 105!.

What is the value of 105 factorial in terms of E?

The value of 105! in terms of E is 1.081396758 E+168.

What are the uses of factorials?

According to Wikipedia:

In mathematical analysis, factorials are used in power series for the exponential function and other functions, and they also have applications in algebra, number theory, probability theory, and computer science.