100399824 has 360 divisors, whose sum is σ = 370476288. Its totient is φ = 26127360.

The previous prime is 100399813. The next prime is 100399829. The reversal of 100399824 is 428993001.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100399829) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3238689 + ... + 3238719.

Almost surely, 2^100399824 is an apocalyptic number.

100399824 is a gapful number since it is divisible by the number (14) 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 100399824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185238144).

100399824 is an abundant number, since it is smaller than the sum of its proper divisors (270076464).

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

100399824 is a wasteful number, since it uses less digits than its factorization.

100399824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 100399824 is about 10019.9712574438. The cubic root of 100399824 is about 464.7766669470.

The spelling of 100399824 in words is "one hundred million, three hundred ninety-nine thousand, eight hundred twenty-four".