100280024 has 48 divisors (see below), whose sum is σ = 213786720. Its totient is φ = 43830720.

The previous prime is 100280017. The next prime is 100280029. The reversal of 100280024 is 420082001.

It is a junction number, because it is equal to n+sod(n) for n = 100279984 and 100280011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100280029) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36209 + ... + 38879.

It is an arithmetic number, because the mean of its divisors is an integer number (4453890).

Almost surely, 2^100280024 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 100280024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106893360).

100280024 is an abundant number, since it is smaller than the sum of its proper divisors (113506696).

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

100280024 is a wasteful number, since it uses less digits than its factorization.

100280024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 100280024 is about 10013.9914120195. The cubic root of 100280024 is about 464.5917316765.

The spelling of 100280024 in words is "one hundred million, two hundred eighty thousand, twenty-four".