100824648 has 64 divisors (see below), whose sum is σ = 269222400. Its totient is φ = 31395840.

The previous prime is 100824641. The next prime is 100824649. The reversal of 100824648 is 846428001.

It is not an unprimeable number, because it can be changed into a prime (100824641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19240 + ... + 23912.

It is an arithmetic number, because the mean of its divisors is an integer number (4206600).

Almost surely, 2^100824648 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 100824648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134611200).

100824648 is an abundant number, since it is smaller than the sum of its proper divisors (168397752).

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

100824648 is a wasteful number, since it uses less digits than its factorization.

100824648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4742 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 100824648 is about 10041.1477431616. The cubic root of 100824648 is about 465.4312844506.

The spelling of 100824648 in words is "one hundred million, eight hundred twenty-four thousand, six hundred forty-eight".