100839229440 has 384 divisors, whose sum is σ = 332032296960. Its totient is φ = 26114457600.

The previous prime is 100839229391. The next prime is 100839229457. The reversal of 100839229440 is 44922938001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 100839229392 and 100839229401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304650075 + ... + 304650405.

It is an arithmetic number, because the mean of its divisors is an integer number (864667440).

Almost surely, 2^100839229440 is an apocalyptic number.

100839229440 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 100839229440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166016148480).

100839229440 is an abundant number, since it is smaller than the sum of its proper divisors (231193067520).

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

100839229440 is a wasteful number, since it uses less digits than its factorization.

100839229440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 100839229440 in words is "one hundred billion, eight hundred thirty-nine million, two hundred twenty-nine thousand, four hundred forty".