105844112 has 40 divisors (see below), whose sum is σ = 227530080. Its totient is φ = 47290880.

The previous prime is 105844111. The next prime is 105844133. The reversal of 105844112 is 211448501.

It is a super-2 number, since 2×105844112² = 22405952090137088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105844111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5288 + ... + 15480.

It is an arithmetic number, because the mean of its divisors is an integer number (5688252).

Almost surely, 2^105844112 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 105844112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113765040).

105844112 is an abundant number, since it is smaller than the sum of its proper divisors (121685968).

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

105844112 is a wasteful number, since it uses less digits than its factorization.

105844112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10271 (or 10265 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 105844112 is about 10288.0567650067. The cubic root of 105844112 is about 473.0302355420.

The spelling of 105844112 in words is "one hundred five million, eight hundred forty-four thousand, one hundred twelve".