10204400107 has 16 divisors (see below), whose sum is σ = 11504553984. Its totient is φ = 8967024000.

The previous prime is 10204400077. The next prime is 10204400131. The reversal of 10204400107 is 70100440201.

10204400107 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10204400107 - 2¹¹ = 10204398059 is a prime.

It is a super-2 number, since 2×10204400107² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10204400147) 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 15 ways as a sum of consecutive naturals, for example, 283438 + ... + 317404.

It is an arithmetic number, because the mean of its divisors is an integer number (719034624).

Almost surely, 2^10204400107 is an apocalyptic number.

10204400107 is a deficient number, since it is larger than the sum of its proper divisors (1300153877).

10204400107 is a wasteful number, since it uses less digits than its factorization.

10204400107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34890.

The product of its (nonzero) digits is 224, while the sum is 19.

Adding to 10204400107 its reverse (70100440201), we get a palindrome (80304840308).

The spelling of 10204400107 in words is "ten billion, two hundred four million, four hundred thousand, one hundred seven".