100113024 has 128 divisors (see below), whose sum is σ = 293906880. Its totient is φ = 29941760.

The previous prime is 100113019. The next prime is 100113047. The reversal of 100113024 is 420311001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578602 + ... + 578774.

Almost surely, 2^100113024 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 100113024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146953440).

100113024 is an abundant number, since it is smaller than the sum of its proper divisors (193793856).

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

100113024 is a wasteful number, since it uses less digits than its factorization.

100113024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 100113024 is about 10005.6496040987. The cubic root of 100113024 is about 464.3336878329. Note that the first 3 decimals are identical.

Adding to 100113024 its reverse (420311001), we get a palindrome (520424025).

The spelling of 100113024 in words is "one hundred million, one hundred thirteen thousand, twenty-four".