10834006743 has 32 divisors (see below), whose sum is σ = 18352089600. Its totient is φ = 6187891968.

The previous prime is 10834006699. The next prime is 10834006769. The reversal of 10834006743 is 34760043801.

10834006743 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 10834006743 - 2¹⁸ = 10833744599 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10834006698 and 10834006707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10834006783) 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 31 ways as a sum of consecutive naturals, for example, 416988 + ... + 442206.

It is an arithmetic number, because the mean of its divisors is an integer number (573502800).

Almost surely, 2^10834006743 is an apocalyptic number.

10834006743 is a deficient number, since it is larger than the sum of its proper divisors (7518082857).

10834006743 is a wasteful number, since it uses less digits than its factorization.

10834006743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27508 (or 27502 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 10834006743 in words is "ten billion, eight hundred thirty-four million, six thousand, seven hundred forty-three".