100104333401104 has 80 divisors (see below), whose sum is σ = 202556410653744. Its totient is φ = 47880452505600.

The previous prime is 100104333401089. The next prime is 100104333401131. The reversal of 100104333401104 is 401104333401001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1407658856704 + 98696674544400 = 1186448^2 + 9934620^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55470832 + ... + 57247024.

Almost surely, 2^{100104333401104} is an apocalyptic number.

It is an amenable number.

100104333401104 is an abundant number, since it is smaller than the sum of its proper divisors (102452077252640).

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

100104333401104 is a wasteful number, since it uses less digits than its factorization.

100104333401104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1777916 (or 1777910 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 100104333401104 its reverse (401104333401001), we get a palindrome (501208666802105).

The spelling of 100104333401104 in words is "one hundred trillion, one hundred four billion, three hundred thirty-three million, four hundred one thousand, one hundred four".