105789944 has 40 divisors (see below), whose sum is σ = 215349360. Its totient is φ = 48720672.

The previous prime is 105789923. The next prime is 105789947. The reversal of 105789944 is 449987501.

It is a super-2 number, since 2×105789944² = 22383024503046272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105789947) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 228257 + ... + 228719.

It is an arithmetic number, because the mean of its divisors is an integer number (5383734).

Almost surely, 2^105789944 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 105789944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107674680).

105789944 is an abundant number, since it is smaller than the sum of its proper divisors (109559416).

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

105789944 is an frugal number, since it uses more digits than its factorization.

105789944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The square root of 105789944 is about 10285.4238609792. The cubic root of 105789944 is about 472.9495273079.

The spelling of 105789944 in words is "one hundred five million, seven hundred eighty-nine thousand, nine hundred forty-four".