100405213004 has 48 divisors (see below), whose sum is σ = 178505335008. Its totient is φ = 49410966528.

The previous prime is 100405213001. The next prime is 100405213049. The reversal of 100405213004 is 400312504001.

100405213004 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100405213004² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100405213001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78625214 + ... + 78626490.

It is an arithmetic number, because the mean of its divisors is an integer number (3718861146).

Almost surely, 2^100405213004 is an apocalyptic number.

It is an amenable number.

100405213004 is a deficient number, since it is larger than the sum of its proper divisors (78100122004).

100405213004 is a wasteful number, since it uses less digits than its factorization.

100405213004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 100405213004 its reverse (400312504001), we get a palindrome (500717717005).

The spelling of 100405213004 in words is "one hundred billion, four hundred five million, two hundred thirteen thousand, four".