100939008240 has 1440 divisors, whose sum is σ = 442983790080. Its totient is φ = 20437401600.

The previous prime is 100939008227. The next prime is 100939008263. The reversal of 100939008240 is 42800939001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 100939008195 and 100939008204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1134146116 + ... + 1134146204.

It is an arithmetic number, because the mean of its divisors is an integer number (307627632).

Almost surely, 2^100939008240 is an apocalyptic number.

100939008240 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 100939008240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221491895040).

100939008240 is an abundant number, since it is smaller than the sum of its proper divisors (342044781840).

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

100939008240 is a wasteful number, since it uses less digits than its factorization.

100939008240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 100939008240 in words is "one hundred billion, nine hundred thirty-nine million, eight thousand, two hundred forty".