10033044 has 72 divisors (see below), whose sum is σ = 27655488. Its totient is φ = 2822400.

The previous prime is 10033033. The next prime is 10033063. The reversal of 10033044 is 44033001.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 66369 + ... + 66519.

It is an arithmetic number, because the mean of its divisors is an integer number (384104).

Almost surely, 2^10033044 is an apocalyptic number.

10033044 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10033044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13827744).

10033044 is an abundant number, since it is smaller than the sum of its proper divisors (17622444).

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

10033044 is a wasteful number, since it uses less digits than its factorization.

10033044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 10033044 is about 3167.4980662978. The cubic root of 10033044 is about 215.6805118994.

Adding to 10033044 its reverse (44033001), we get a palindrome (54066045).

The spelling of 10033044 in words is "ten million, thirty-three thousand, forty-four".