100215784448 has 88 divisors (see below), whose sum is σ = 228435325272. Its totient is φ = 43532550144.

The previous prime is 100215784429. The next prime is 100215784457. The reversal of 100215784448 is 844487512001.

It can be written as a sum of positive squares in 4 ways, for example, as 440664064 + 99775120384 = 20992^2 + 315872^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100215784399 and 100215784408.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4886 + ... + 447722.

It is an arithmetic number, because the mean of its divisors is an integer number (2595855969).

Almost surely, 2^100215784448 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 100215784448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114217662636).

100215784448 is an abundant number, since it is smaller than the sum of its proper divisors (128219540824).

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

100215784448 is a wasteful number, since it uses less digits than its factorization.

100215784448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442887 (or 442869 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 44.

The spelling of 100215784448 in words is "one hundred billion, two hundred fifteen million, seven hundred eighty-four thousand, four hundred forty-eight".