105442944 has 32 divisors (see below), whose sum is σ = 280083840. Its totient is φ = 35147520.

The previous prime is 105442943. The next prime is 105442957. The reversal of 105442944 is 449244501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105442944² = 22236428878774272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (105442943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 136912 + ... + 137679.

It is an arithmetic number, because the mean of its divisors is an integer number (8752620).

Almost surely, 2^105442944 is an apocalyptic number.

It is an amenable number.

105442944 is an abundant number, since it is smaller than the sum of its proper divisors (174640896).

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

105442944 is an equidigital number, since it uses as much as digits as its factorization.

105442944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274608 (or 274596 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The square root of 105442944 is about 10268.5414738414. The cubic root of 105442944 is about 472.4318560220.

The spelling of 105442944 in words is "one hundred five million, four hundred forty-two thousand, nine hundred forty-four".