1038644105 has 16 divisors (see below), whose sum is σ = 1270328400. Its totient is φ = 815097600.

The previous prime is 1038644093. The next prime is 1038644107. The reversal of 1038644105 is 5014468301.

It can be written as a sum of positive squares in 8 ways, for example, as 373571584 + 665072521 = 19328^2 + 25789^2 .

It is not a de Polignac number, because 1038644105 - 2¹⁸ = 1038381961 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1038644107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45611 + ... + 64479.

It is an arithmetic number, because the mean of its divisors is an integer number (79395525).

Almost surely, 2^1038644105 is an apocalyptic number.

It is an amenable number.

1038644105 is a deficient number, since it is larger than the sum of its proper divisors (231684295).

1038644105 is a wasteful number, since it uses less digits than its factorization.

1038644105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19084.

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 1038644105 is about 32228.0018772495. The cubic root of 1038644105 is about 1012.7189117676.

The spelling of 1038644105 in words is "one billion, thirty-eight million, six hundred forty-four thousand, one hundred five".