105382044 has 72 divisors (see below), whose sum is σ = 280294560. Its totient is φ = 33318912.

The previous prime is 105382019. The next prime is 105382049. The reversal of 105382044 is 440283501.

It is a super-2 number, since 2×105382044² = 22210750395235872, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105381999 and 105382017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105382049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112972 + ... + 113900.

It is an arithmetic number, because the mean of its divisors is an integer number (3892980).

Almost surely, 2^105382044 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 105382044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140147280).

105382044 is an abundant number, since it is smaller than the sum of its proper divisors (174912516).

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

105382044 is a wasteful number, since it uses less digits than its factorization.

105382044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 105382044 is about 10265.5756779637. The cubic root of 105382044 is about 472.3408853676.

The spelling of 105382044 in words is "one hundred five million, three hundred eighty-two thousand, forty-four".