84441100 has 36 divisors (see below), whose sum is σ = 184238208. Its totient is φ = 33592000.

The previous prime is 84441059. The next prime is 84441103. The reversal of 84441100 is 114448.

It is a nialpdrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (84441103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16890 + ... + 21310.

It is an arithmetic number, because the mean of its divisors is an integer number (5117728).

Almost surely, 2^84441100 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 84441100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92119104).

84441100 is an abundant number, since it is smaller than the sum of its proper divisors (99797108).

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

84441100 is a wasteful number, since it uses less digits than its factorization.

84441100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4626 (or 4619 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 22.

The square root of 84441100 is about 9189.1838592989. The cubic root of 84441100 is about 438.7171656936.

Adding to 84441100 its reverse (114448), we get a palindrome (84555548).

The spelling of 84441100 in words is "eighty-four million, four hundred forty-one thousand, one hundred".