100441883776 has 64 divisors (see below), whose sum is σ = 215592000120. Its totient is φ = 46336131072.

The previous prime is 100441883771. The next prime is 100441883783. The reversal of 100441883776 is 677388144001.

It can be written as a sum of positive squares in 4 ways, for example, as 60929985600 + 39511898176 = 246840^2 + 198776^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (100441883771) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3869176 + ... + 3895048.

Almost surely, 2^100441883776 is an apocalyptic number.

100441883776 is a gapful number since it is divisible by the number (16) 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 100441883776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107796000060).

100441883776 is an abundant number, since it is smaller than the sum of its proper divisors (115150116344).

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

100441883776 is a wasteful number, since it uses less digits than its factorization.

100441883776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28233 (or 28221 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 49.

The spelling of 100441883776 in words is "one hundred billion, four hundred forty-one million, eight hundred eighty-three thousand, seven hundred seventy-six".