10045235727 has 12 divisors (see below), whose sum is σ = 14522651520. Its totient is φ = 6690885408.

The previous prime is 10045235699. The next prime is 10045235743. The reversal of 10045235727 is 72753254001.

10045235727 is a `hidden beast` number, since 100 + 4 + 523 + 5 + 7 + 27 = 666.

10045235727 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 10045235727 - 2²⁷ = 9911017999 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10045235691 and 10045235700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10045235777) 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 11 ways as a sum of consecutive naturals, for example, 484143 + ... + 504464.

It is an arithmetic number, because the mean of its divisors is an integer number (1210220960).

Almost surely, 2^10045235727 is an apocalyptic number.

10045235727 is a deficient number, since it is larger than the sum of its proper divisors (4477415793).

10045235727 is a wasteful number, since it uses less digits than its factorization.

10045235727 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 989742 (or 989739 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

Adding to 10045235727 its reverse (72753254001), we get a palindrome (82798489728).

The spelling of 10045235727 in words is "ten billion, forty-five million, two hundred thirty-five thousand, seven hundred twenty-seven".