100424014224 has 120 divisors (see below), whose sum is σ = 275799326880. Its totient is φ = 31476082176.

The previous prime is 100424014219. The next prime is 100424014253. The reversal of 100424014224 is 422410424001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 100424014194 and 100424014203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1464612 + ... + 1531644.

It is an arithmetic number, because the mean of its divisors is an integer number (2298327724).

Almost surely, 2^100424014224 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 100424014224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137899663440).

100424014224 is an abundant number, since it is smaller than the sum of its proper divisors (175375312656).

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

100424014224 is a wasteful number, since it uses less digits than its factorization.

100424014224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67149 (or 67120 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 100424014224 its reverse (422410424001), we get a palindrome (522834438225).

The spelling of 100424014224 in words is "one hundred billion, four hundred twenty-four million, fourteen thousand, two hundred twenty-four".