100093824 has 192 divisors, whose sum is σ = 322218000. Its totient is φ = 29638656.

The previous prime is 100093813. The next prime is 100093831. The reversal of 100093824 is 428390001.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371962 + ... + 372230.

Almost surely, 2^100093824 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 100093824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161109000).

100093824 is an abundant number, since it is smaller than the sum of its proper divisors (222124176).

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

100093824 is a wasteful number, since it uses less digits than its factorization.

100093824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 100093824 is about 10004.6901001480. The cubic root of 100093824 is about 464.3040021289.

The spelling of 100093824 in words is "one hundred million, ninety-three thousand, eight hundred twenty-four".