10144435104 has 36 divisors (see below), whose sum is σ = 28848238146. Its totient is φ = 3381478272.

The previous prime is 10144435097. The next prime is 10144435117. The reversal of 10144435104 is 40153444101.

10144435104 is a `hidden beast` number, since 1 + 0 + 144 + 4 + 3 + 510 + 4 = 666.

10144435104 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., 6786464400 + 3357970704 = 82380^2 + 57948^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 17611579 + ... + 17612154.

Almost surely, 2^10144435104 is an apocalyptic number.

It is an amenable number.

10144435104 is an abundant number, since it is smaller than the sum of its proper divisors (18703803042).

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

10144435104 is a wasteful number, since it uses less digits than its factorization.

10144435104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35223749 (or 35223738 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10144435104 its reverse (40153444101), we get a palindrome (50297879205).

The spelling of 10144435104 in words is "ten billion, one hundred forty-four million, four hundred thirty-five thousand, one hundred four".