105938944 has 64 divisors (see below), whose sum is σ = 219411180. Its totient is φ = 51118080.

The previous prime is 105938941. The next prime is 105938981. The reversal of 105938944 is 449839501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 102252544 + 3686400 = 10112^2 + 1920^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105938944² = 22446119711670272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105938944.

It is not an unprimeable number, because it can be changed into a prime (105938941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1736674 + ... + 1736734.

Almost surely, 2^105938944 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 105938944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109705590).

105938944 is an abundant number, since it is smaller than the sum of its proper divisors (113472236).

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

105938944 is an frugal number, since it uses more digits than its factorization.

105938944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The square root of 105938944 is about 10292.6645724030. The cubic root of 105938944 is about 473.1714652934.

The spelling of 105938944 in words is "one hundred five million, nine hundred thirty-eight thousand, nine hundred forty-four".