10635510106 has 32 divisors (see below), whose sum is σ = 17549593488. Its totient is φ = 4803701760.

The previous prime is 10635510089. The next prime is 10635510133. The reversal of 10635510106 is 60101553601.

10635510106 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 8 ways, for example, as 3892636881 + 6742873225 = 62391^2 + 82115^2 .

It is a super-2 number, since 2×10635510106² (a number of 21 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 537346 + ... + 556786.

Almost surely, 2^10635510106 is an apocalyptic number.

10635510106 is a deficient number, since it is larger than the sum of its proper divisors (6914083382).

10635510106 is a wasteful number, since it uses less digits than its factorization.

10635510106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19906.

The product of its (nonzero) digits is 2700, while the sum is 28.

The spelling of 10635510106 in words is "ten billion, six hundred thirty-five million, five hundred ten thousand, one hundred six".