10066635 has 24 divisors (see below), whose sum is σ = 18476640. Its totient is φ = 5052672.

The previous prime is 10066631. The next prime is 10066681. The reversal of 10066635 is 53666001.

10066635 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10066635 - 2² = 10066631 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10066599 and 10066608.

It is not an unprimeable number, because it can be changed into a prime (10066631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5815 + ... + 7344.

It is an arithmetic number, because the mean of its divisors is an integer number (769860).

Almost surely, 2^10066635 is an apocalyptic number.

10066635 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10066635 is a deficient number, since it is larger than the sum of its proper divisors (8410005).

10066635 is a wasteful number, since it uses less digits than its factorization.

10066635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13187 (or 13184 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 10066635 is about 3172.7960854741. The cubic root of 10066635 is about 215.9209458646.

It can be divided in two parts, 10066 and 635, that added together give a palindrome (10701).

The spelling of 10066635 in words is "ten million, sixty-six thousand, six hundred thirty-five".