10104405201 has 18 divisors (see below), whose sum is σ = 16042716690. Its totient is φ = 6123881280.

The previous prime is 10104405193. The next prime is 10104405203. The reversal of 10104405201 is 10250440101.

10104405201 is a `hidden beast` number, since 1 + 0 + 104 + 40 + 520 + 1 = 666.

10104405201 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 only one way, i.e., 8982490176 + 1121915025 = 94776^2 + 33495^2 .

It is not a de Polignac number, because 10104405201 - 2³ = 10104405193 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10104405203) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 4638216 + ... + 4640393.

Almost surely, 2^10104405201 is an apocalyptic number.

10104405201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10104405201 is a deficient number, since it is larger than the sum of its proper divisors (5938311489).

10104405201 is a wasteful number, since it uses less digits than its factorization.

10104405201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9278637 (or 9278623 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 10104405201 its reverse (10250440101), we get a palindrome (20354845302).

The spelling of 10104405201 in words is "ten billion, one hundred four million, four hundred five thousand, two hundred one".