10006854 has 64 divisors (see below), whose sum is σ = 23950080. Its totient is φ = 2747520.

The previous prime is 10006849. The next prime is 10006861. The reversal of 10006854 is 45860001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91752 + ... + 91860.

It is an arithmetic number, because the mean of its divisors is an integer number (374220).

Almost surely, 2^10006854 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10006854, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11975040).

10006854 is an abundant number, since it is smaller than the sum of its proper divisors (13943226).

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

10006854 is a wasteful number, since it uses less digits than its factorization.

10006854 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245.

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 10006854 is about 3163.3611870920. The cubic root of 10006854 is about 215.4926794132.

Adding to 10006854 its reverse (45860001), we get a palindrome (55866855).

The spelling of 10006854 in words is "ten million, six thousand, eight hundred fifty-four".