1005108 has 48 divisors (see below), whose sum is σ = 2681280. Its totient is φ = 290304.

The previous prime is 1005107. The next prime is 1005131. The reversal of 1005108 is 8015001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005101) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2463 + ... + 2841.

It is an arithmetic number, because the mean of its divisors is an integer number (55860).

2^1005108 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 1005108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1340640).

1005108 is an abundant number, since it is smaller than the sum of its proper divisors (1676172).

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

1005108 is a wasteful number, since it uses less digits than its factorization.

1005108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1005108 is about 1002.5507468453. The cubic root of 1005108 is about 100.1699775792.

The spelling of 1005108 in words is "one million, five thousand, one hundred eight".