10040103729 has 12 divisors (see below), whose sum is σ = 15355452996. Its totient is φ = 6299672832.

The previous prime is 10040103719. The next prime is 10040103737. The reversal of 10040103729 is 92730104001.

It can be written as a sum of positive squares in 2 ways, for example, as 7960743729 + 2079360000 = 89223^2 + 45600^2 .

It is not a de Polignac number, because 10040103729 - 2¹⁵ = 10040070961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10040103719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32810644 + ... + 32810949.

It is an arithmetic number, because the mean of its divisors is an integer number (1279621083).

Almost surely, 2^10040103729 is an apocalyptic number.

It is an amenable number.

10040103729 is a deficient number, since it is larger than the sum of its proper divisors (5315349267).

10040103729 is a wasteful number, since it uses less digits than its factorization.

10040103729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65621616 (or 65621613 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10040103729 in words is "ten billion, forty million, one hundred three thousand, seven hundred twenty-nine".