83884100 has 36 divisors (see below), whose sum is σ = 183154944. Its totient is φ = 33346080.

The previous prime is 83884093. The next prime is 83884123. The reversal of 83884100 is 148838.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14189 + ... + 19211.

Almost surely, 2^83884100 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 83884100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91577472).

83884100 is an abundant number, since it is smaller than the sum of its proper divisors (99270844).

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

83884100 is a wasteful number, since it uses less digits than its factorization.

83884100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5204 (or 5197 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 32.

The square root of 83884100 is about 9158.8263440247. The cubic root of 83884100 is about 437.7503981567.

The spelling of 83884100 in words is "eighty-three million, eight hundred eighty-four thousand, one hundred".