100011658404 has 96 divisors (see below), whose sum is σ = 276076120320. Its totient is φ = 27571235328.

The previous prime is 100011658391. The next prime is 100011658423. The reversal of 100011658404 is 404856110001.

100011658404 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3916542 + ... + 3941994.

It is an arithmetic number, because the mean of its divisors is an integer number (2875792920).

Almost surely, 2^100011658404 is an apocalyptic number.

100011658404 is a gapful number since it is divisible by the number (14) 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 100011658404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138038060160).

100011658404 is an abundant number, since it is smaller than the sum of its proper divisors (176064461916).

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

100011658404 is a wasteful number, since it uses less digits than its factorization.

100011658404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27109 (or 27107 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

Adding to 100011658404 its reverse (404856110001), we get a palindrome (504867768405).

The spelling of 100011658404 in words is "one hundred billion, eleven million, six hundred fifty-eight thousand, four hundred four".