10006518 has 32 divisors (see below), whose sum is σ = 21254400. Its totient is φ = 3133856.

The previous prime is 10006511. The next prime is 10006519. The reversal of 10006518 is 81560001.

It is a junction number, because it is equal to n+sod(n) for n = 10006494 and 10006503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7528 + ... + 8756.

It is an arithmetic number, because the mean of its divisors is an integer number (664200).

Almost surely, 2^10006518 is an apocalyptic number.

10006518 is an abundant number, since it is smaller than the sum of its proper divisors (11247882).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10006518 is a wasteful number, since it uses less digits than its factorization.

10006518 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1316.

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 10006518 is about 3163.3080785785. The cubic root of 10006518 is about 215.4902675213.

Adding to 10006518 its reverse (81560001), we get a palindrome (91566519).

The spelling of 10006518 in words is "ten million, six thousand, five hundred eighteen".