100331024430 has 128 divisors (see below), whose sum is σ = 296514183168. Its totient is φ = 21157903872.

The previous prime is 100331024407. The next prime is 100331024483. The reversal of 100331024430 is 34420133001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 100331024397 and 100331024406.

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 63 ways as a sum of consecutive naturals, for example, 6033187 + ... + 6049793.

It is an arithmetic number, because the mean of its divisors is an integer number (2316517056).

Almost surely, 2^100331024430 is an apocalyptic number.

100331024430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100331024430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148257091584).

100331024430 is an abundant number, since it is smaller than the sum of its proper divisors (196183158738).

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

100331024430 is a wasteful number, since it uses less digits than its factorization.

100331024430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18850.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 100331024430 its reverse (34420133001), we get a palindrome (134751157431).

The spelling of 100331024430 in words is "one hundred billion, three hundred thirty-one million, twenty-four thousand, four hundred thirty".