1038105 has 48 divisors (see below), whose sum is σ = 2021760. Its totient is φ = 489984.

The previous prime is 1038077. The next prime is 1038119. The reversal of 1038105 is 5018301.

It is a happy number.

It is not a de Polignac number, because 1038105 - 2⁵ = 1038073 is a prime.

It is an alternating number because its digits alternate between odd and even.

1038105 is a lucky number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17566 + ... + 17624.

It is an arithmetic number, because the mean of its divisors is an integer number (42120).

2^1038105 is an apocalyptic number.

1038105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1038105 is a deficient number, since it is larger than the sum of its proper divisors (983655).

1038105 is a wasteful number, since it uses less digits than its factorization.

1038105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 1038105 is about 1018.8743789104. The cubic root of 1038105 is about 101.2543665241.

The spelling of 1038105 in words is "one million, thirty-eight thousand, one hundred five".