10106844 has 48 divisors (see below), whose sum is σ = 26853120. Its totient is φ = 2928640.

The previous prime is 10106843. The next prime is 10106851. The reversal of 10106844 is 44860101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10106843) 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, 1372 + ... + 4700.

It is an arithmetic number, because the mean of its divisors is an integer number (559440).

Almost surely, 2^10106844 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10106844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13426560).

10106844 is an abundant number, since it is smaller than the sum of its proper divisors (16746276).

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

10106844 is a wasteful number, since it uses less digits than its factorization.

10106844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3370 (or 3368 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 10106844 is about 3179.1262950691. The cubic root of 10106844 is about 216.2080471480.

Adding to 10106844 its reverse (44860101), we get a palindrome (54966945).

The spelling of 10106844 in words is "ten million, one hundred six thousand, eight hundred forty-four".