100040224024 has 128 divisors (see below), whose sum is σ = 211036351680. Its totient is φ = 44159385600.

The previous prime is 100040224019. The next prime is 100040224049. The reversal of 100040224024 is 420422040001.

It is a junction number, because it is equal to n+sod(n) for n = 100040223992 and 100040224010.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 68850082 + ... + 68851534.

Almost surely, 2^100040224024 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 100040224024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105518175840).

100040224024 is an abundant number, since it is smaller than the sum of its proper divisors (110996127656).

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

100040224024 is a wasteful number, since it uses less digits than its factorization.

100040224024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1821 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 100040224024 its reverse (420422040001), we get a palindrome (520462264025).

The spelling of 100040224024 in words is "one hundred billion, forty million, two hundred twenty-four thousand, twenty-four".