100824640 has 224 divisors, whose sum is σ = 304312320. Its totient is φ = 31021056.

The previous prime is 100824631. The next prime is 100824641. The reversal of 100824640 is 46428001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×100824640² = 20331216062259200, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 978829 + ... + 978931.

Almost surely, 2^100824640 is an apocalyptic number.

100824640 is a gapful number since it is divisible by the number (10) 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 100824640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152156160).

100824640 is an abundant number, since it is smaller than the sum of its proper divisors (203487680).

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

100824640 is a wasteful number, since it uses less digits than its factorization.

100824640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 25.

The square root of 100824640 is about 10041.1473448008. The cubic root of 100824640 is about 465.4312721407.

The spelling of 100824640 in words is "one hundred million, eight hundred twenty-four thousand, six hundred forty".