84071166100 has 72 divisors (see below), whose sum is σ = 188412885248. Its totient is φ = 32527526400.

The previous prime is 84071166097. The next prime is 84071166107. The reversal of 84071166100 is 166117048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84071166107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7642204 + ... + 7653196.

Almost surely, 2^84071166100 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 84071166100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94206442624).

84071166100 is an abundant number, since it is smaller than the sum of its proper divisors (104341719148).

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

84071166100 is a wasteful number, since it uses less digits than its factorization.

84071166100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13505 (or 13498 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 34.

The spelling of 84071166100 in words is "eighty-four billion, seventy-one million, one hundred sixty-six thousand, one hundred".