100414403000 has 64 divisors (see below), whose sum is σ = 235291979520. Its totient is φ = 40110672000.

The previous prime is 100414402993. The next prime is 100414403029. The reversal of 100414403000 is 304414001.

100414403000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 100414403000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 664505 + ... + 801495.

It is an arithmetic number, because the mean of its divisors is an integer number (3676437180).

Almost surely, 2^100414403000 is an apocalyptic number.

100414403000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100414403000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117645989760).

100414403000 is an abundant number, since it is smaller than the sum of its proper divisors (134877576520).

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

100414403000 is a wasteful number, since it uses less digits than its factorization.

100414403000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137745 (or 137731 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 100414403000 its reverse (304414001), we get a palindrome (100718817001).

The spelling of 100414403000 in words is "one hundred billion, four hundred fourteen million, four hundred three thousand".