100010010984 has 128 divisors (see below), whose sum is σ = 273388711680. Its totient is φ = 30301286400.

The previous prime is 100010010983. The next prime is 100010011007. The reversal of 100010010984 is 489010010001.

100010010984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (100010010983) 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, 21640194 + ... + 21644814.

It is an arithmetic number, because the mean of its divisors is an integer number (2135849310).

Almost surely, 2^100010010984 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 100010010984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136694355840).

100010010984 is an abundant number, since it is smaller than the sum of its proper divisors (173378700696).

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

100010010984 is a wasteful number, since it uses less digits than its factorization.

100010010984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5691 (or 5687 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 100010010984 its reverse (489010010001), we get a palindrome (589020020985).

The spelling of 100010010984 in words is "one hundred billion, ten million, ten thousand, nine hundred eighty-four".