100125403404 has 192 divisors, whose sum is σ = 272776605696. Its totient is φ = 28304510976.

The previous prime is 100125403403. The next prime is 100125403429. The reversal of 100125403404 is 404304521001.

It is not an unprimeable number, because it can be changed into a prime (100125403403) by changing a digit.

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, 62695134 + ... + 62696730.

It is an arithmetic number, because the mean of its divisors is an integer number (1420711488).

Almost surely, 2^100125403404 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 100125403404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136388302848).

100125403404 is an abundant number, since it is smaller than the sum of its proper divisors (172651202292).

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

100125403404 is a wasteful number, since it uses less digits than its factorization.

100125403404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 100125403404 its reverse (404304521001), we get a palindrome (504429924405).

The spelling of 100125403404 in words is "one hundred billion, one hundred twenty-five million, four hundred three thousand, four hundred four".