100984832 has 48 divisors (see below), whose sum is σ = 217510020. Its totient is φ = 46596096.

The previous prime is 100984817. The next prime is 100984841. The reversal of 100984832 is 238489001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 87909376 + 13075456 = 9376^2 + 3616^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100984792 and 100984801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 24728 + ... + 28520.

Almost surely, 2^100984832 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 100984832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108755010).

100984832 is an abundant number, since it is smaller than the sum of its proper divisors (116525188).

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

100984832 is an equidigital number, since it uses as much as digits as its factorization.

100984832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3828 (or 3808 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 100984832 is about 10049.1209565812. The cubic root of 100984832 is about 465.6776369003.

The spelling of 100984832 in words is "one hundred million, nine hundred eighty-four thousand, eight hundred thirty-two".