106112844 has 72 divisors (see below), whose sum is σ = 287567280. Its totient is φ = 32873472.

The previous prime is 106112843. The next prime is 106112899. The reversal of 106112844 is 448211601.

It is a happy number.

106112844 is a `hidden beast` number, since 1 + 0 + 611 + 2 + 8 + 44 = 666.

It is a super-2 number, since 2×106112844² = 22519871323536672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106112843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49752 + ... + 51840.

It is an arithmetic number, because the mean of its divisors is an integer number (3993990).

Almost surely, 2^106112844 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 106112844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143783640).

106112844 is an abundant number, since it is smaller than the sum of its proper divisors (181454436).

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

106112844 is a wasteful number, since it uses less digits than its factorization.

106112844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199 (or 2194 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 106112844 is about 10301.1088723496. The cubic root of 106112844 is about 473.4302292319.

The spelling of 106112844 in words is "one hundred six million, one hundred twelve thousand, eight hundred forty-four".