100824347971 has 24 divisors (see below), whose sum is σ = 104975865792. Its totient is φ = 96785472000.

The previous prime is 100824347947. The next prime is 100824347977. The reversal of 100824347971 is 179743428001.

It is a de Polignac number, because none of the positive numbers 2^k-100824347971 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100824347977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54176581 + ... + 54178441.

It is an arithmetic number, because the mean of its divisors is an integer number (4373994408).

Almost surely, 2^100824347971 is an apocalyptic number.

100824347971 is a deficient number, since it is larger than the sum of its proper divisors (4151517821).

100824347971 is a wasteful number, since it uses less digits than its factorization.

100824347971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2223 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The spelling of 100824347971 in words is "one hundred billion, eight hundred twenty-four million, three hundred forty-seven thousand, nine hundred seventy-one".