10400000104 has 32 divisors (see below), whose sum is σ = 22235298120. Its totient is φ = 4517646336.

The previous prime is 10400000041. The next prime is 10400000129. The reversal of 10400000104 is 40100000401.

10400000104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9535522500 + 864477604 = 97650^2 + 29402^2 .

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 7 ways as a sum of consecutive naturals, for example, 2939409 + ... + 2942944.

Almost surely, 2^10400000104 is an apocalyptic number.

It is an amenable number.

10400000104 is an abundant number, since it is smaller than the sum of its proper divisors (11835298016).

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

10400000104 is a wasteful number, since it uses less digits than its factorization.

10400000104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5882389 (or 5882385 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10400000104 its reverse (40100000401), we get a palindrome (50500000505).

The spelling of 10400000104 in words is "ten billion, four hundred million, one hundred four", and thus it is an aban number.