84024100104 has 128 divisors (see below), whose sum is σ = 244308768000. Its totient is φ = 23583882240.

The previous prime is 84024100103. The next prime is 84024100109. The reversal of 84024100104 is 40100142048.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (84024100103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8982822 + ... + 8992170.

It is an arithmetic number, because the mean of its divisors is an integer number (1908662250).

Almost surely, 2^84024100104 is an apocalyptic number.

84024100104 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84024100104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122154384000).

84024100104 is an abundant number, since it is smaller than the sum of its proper divisors (160284667896).

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

84024100104 is a wasteful number, since it uses less digits than its factorization.

84024100104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10303 (or 10299 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 84024100104 in words is "eighty-four billion, twenty-four million, one hundred thousand, one hundred four".