100124424 has 160 divisors (see below), whose sum is σ = 303831000. Its totient is φ = 30689280.

The previous prime is 100124417. The next prime is 100124447. The reversal of 100124424 is 424421001.

It can be written as a sum of positive squares in 4 ways, for example, as 52099524 + 48024900 = 7218^2 + 6930^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100124397 and 100124406.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 671902 + ... + 672050.

Almost surely, 2^100124424 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 100124424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151915500).

100124424 is an abundant number, since it is smaller than the sum of its proper divisors (203706576).

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

100124424 is a wasteful number, since it uses less digits than its factorization.

100124424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 100124424 is about 10006.2192660365. The cubic root of 100124424 is about 464.3513119239.

Adding to 100124424 its reverse (424421001), we get a palindrome (524545425).

It can be divided in two parts, 1001 and 24424, that added together give a triangular number (25425 = T₂₂₅).

The spelling of 100124424 in words is "one hundred million, one hundred twenty-four thousand, four hundred twenty-four".