87821966100 has 288 divisors, whose sum is σ = 285911700480. Its totient is φ = 20631296000.

The previous prime is 87821966069. The next prime is 87821966107. The reversal of 87821966100 is 166912878.

It is a self number, because there is not a number n which added to its sum of digits gives 87821966100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87821966107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13820524 + ... + 13826876.

It is an arithmetic number, because the mean of its divisors is an integer number (992748960).

Almost surely, 2^87821966100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87821966100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142955850240).

87821966100 is an abundant number, since it is smaller than the sum of its proper divisors (198089734380).

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

87821966100 is a wasteful number, since it uses less digits than its factorization.

87821966100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6511 (or 6504 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 87821966100 in words is "eighty-seven billion, eight hundred twenty-one million, nine hundred sixty-six thousand, one hundred".