100439914080 has 384 divisors, whose sum is σ = 366566860800. Its totient is φ = 22846832640.

The previous prime is 100439914039. The next prime is 100439914087. The reversal of 100439914080 is 80419934001.

100439914080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100439914087) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32940396 + ... + 32943444.

It is an arithmetic number, because the mean of its divisors is an integer number (954601200).

Almost surely, 2^100439914080 is an apocalyptic number.

100439914080 is a gapful number since it is divisible by the number (10) 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 100439914080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183283430400).

100439914080 is an abundant number, since it is smaller than the sum of its proper divisors (266126946720).

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

100439914080 is a wasteful number, since it uses less digits than its factorization.

100439914080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3462 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 100439914080 in words is "one hundred billion, four hundred thirty-nine million, nine hundred fourteen thousand, eighty".