84096100 has 72 divisors (see below), whose sum is σ = 201549600. Its totient is φ = 30201600.

The previous prime is 84096017. The next prime is 84096121. The reversal of 84096100 is 169048.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97471 + ... + 98329.

It is an arithmetic number, because the mean of its divisors is an integer number (2799300).

Almost surely, 2^84096100 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 84096100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100774800).

84096100 is an abundant number, since it is smaller than the sum of its proper divisors (117453500).

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

84096100 is a wasteful number, since it uses less digits than its factorization.

84096100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 84096100 is about 9170.3925761115. The cubic root of 84096100 is about 438.1188629539.

The spelling of 84096100 in words is "eighty-four million, ninety-six thousand, one hundred".