1004105000 has 80 divisors (see below), whose sum is σ = 2491218180. Its totient is φ = 377984000.

The previous prime is 1004104993. The next prime is 1004105009. The reversal of 1004105000 is 5014001.

It can be written as a sum of positive squares in 10 ways, for example, as 36024004 + 968080996 = 6002^2 + 31114^2 .

It is not an unprimeable number, because it can be changed into a prime (1004105009) 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 19 ways as a sum of consecutive naturals, for example, 79094 + ... + 90906.

Almost surely, 2^1004105000 is an apocalyptic number.

1004105000 is a gapful number since it is divisible by the number (10) 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 1004105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245609090).

1004105000 is an abundant number, since it is smaller than the sum of its proper divisors (1487113180).

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

1004105000 is a wasteful number, since it uses less digits than its factorization.

1004105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11856 (or 11837 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 1004105000 is about 31687.6158775002. The cubic root of 1004105000 is about 1001.3664652555.

Adding to 1004105000 its reverse (5014001), we get a palindrome (1009119001).

Subtracting from 1004105000 its reverse (5014001), we obtain a palindrome (999090999).

The spelling of 1004105000 in words is "one billion, four million, one hundred five thousand".