100440984 has 96 divisors (see below), whose sum is σ = 294174720. Its totient is φ = 28494144.

The previous prime is 100440943. The next prime is 100441009. The reversal of 100440984 is 489044001.

It is a congruent number.

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, 262057 + ... + 262439.

It is an arithmetic number, because the mean of its divisors is an integer number (3064320).

Almost surely, 2^100440984 is an apocalyptic number.

100440984 is a gapful number since it is divisible by the number (14) 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 100440984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147087360).

100440984 is an abundant number, since it is smaller than the sum of its proper divisors (193733736).

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

100440984 is a wasteful number, since it uses less digits than its factorization.

100440984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 100440984 is about 10022.0249450897. The cubic root of 100440984 is about 464.8401716864.

Adding to 100440984 its reverse (489044001), we get a palindrome (589484985).

The spelling of 100440984 in words is "one hundred million, four hundred forty thousand, nine hundred eighty-four".