10006710 has 64 divisors (see below), whose sum is σ = 29071872. Its totient is φ = 2151936.

The previous prime is 10006699. The next prime is 10006721. The reversal of 10006710 is 1760001.

It is an interprime number because it is at equal distance from previous prime (10006699) and next prime (10006721).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10006710.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2169 + ... + 4971.

It is an arithmetic number, because the mean of its divisors is an integer number (454248).

Almost surely, 2^10006710 is an apocalyptic number.

10006710 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10006710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14535936).

10006710 is an abundant number, since it is smaller than the sum of its proper divisors (19065162).

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

10006710 is a wasteful number, since it uses less digits than its factorization.

10006710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2837.

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 10006710 is about 3163.3384264097. The cubic root of 10006710 is about 215.4916457518.

Adding to 10006710 its reverse (1760001), we get a palindrome (11766711).

The spelling of 10006710 in words is "ten million, six thousand, seven hundred ten".