100838234880 has 864 divisors, whose sum is σ = 386769277440. Its totient is φ = 25082265600.

The previous prime is 100838234879. The next prime is 100838234891. The reversal of 100838234880 is 88432838001.

100838234880 is a `hidden beast` number, since 10 + 0 + 83 + 82 + 3 + 488 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×100838234880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 667802805 + ... + 667802955.

Almost surely, 2^100838234880 is an apocalyptic number.

100838234880 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 100838234880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193384638720).

100838234880 is an abundant number, since it is smaller than the sum of its proper divisors (285931042560).

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

100838234880 is a wasteful number, since it uses less digits than its factorization.

100838234880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 100838234880 in words is "one hundred billion, eight hundred thirty-eight million, two hundred thirty-four thousand, eight hundred eighty".