10906629689 has 8 divisors (see below), whose sum is σ = 11035055880. Its totient is φ = 10778334336.

The previous prime is 10906629677. The next prime is 10906629709. The reversal of 10906629689 is 98692660901.

10906629689 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 4 ways, for example, as 696537664 + 10210092025 = 26392^2 + 101045^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10906629689 - 2¹² = 10906625593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10906629889) 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 7 ways as a sum of consecutive naturals, for example, 140339 + ... + 203735.

It is an arithmetic number, because the mean of its divisors is an integer number (1379381985).

Almost surely, 2^10906629689 is an apocalyptic number.

It is an amenable number.

10906629689 is a deficient number, since it is larger than the sum of its proper divisors (128426191).

10906629689 is an equidigital number, since it uses as much as digits as its factorization.

10906629689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65419.

The product of its (nonzero) digits is 2519424, while the sum is 56.

The spelling of 10906629689 in words is "ten billion, nine hundred six million, six hundred twenty-nine thousand, six hundred eighty-nine".