100803384448 has 64 divisors (see below), whose sum is σ = 216398548800. Its totient is φ = 46496314368.

The previous prime is 100803384443. The next prime is 100803384599. The reversal of 100803384448 is 844483308001.

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

It is a super-2 number, since 2×100803384448² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100803384443) 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, 2849493 + ... + 2884651.

It is an arithmetic number, because the mean of its divisors is an integer number (3381227325).

Almost surely, 2^100803384448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100803384448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108199274400).

100803384448 is an abundant number, since it is smaller than the sum of its proper divisors (115595164352).

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

100803384448 is a wasteful number, since it uses less digits than its factorization.

100803384448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36909 (or 36897 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 43.

The spelling of 100803384448 in words is "one hundred billion, eight hundred three million, three hundred eighty-four thousand, four hundred forty-eight".