100824450 has 96 divisors (see below), whose sum is σ = 278821440. Its totient is φ = 23961600.

The previous prime is 100824443. The next prime is 100824491. The reversal of 100824450 is 54428001.

It is a self number, because there is not a number n which added to its sum of digits gives 100824450.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47410 + ... + 49490.

It is an arithmetic number, because the mean of its divisors is an integer number (2904390).

Almost surely, 2^100824450 is an apocalyptic number.

100824450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100824450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139410720).

100824450 is an abundant number, since it is smaller than the sum of its proper divisors (177996990).

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

100824450 is a wasteful number, since it uses less digits than its factorization.

100824450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2132 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 100824450 is about 10041.1378837261. The cubic root of 100824450 is about 465.4309797783.

The spelling of 100824450 in words is "one hundred million, eight hundred twenty-four thousand, four hundred fifty".