1004285100 has 144 divisors (see below), whose sum is σ = 3576382208. Its totient is φ = 211887360.

The previous prime is 1004285089. The next prime is 1004285101. The reversal of 1004285100 is 15824001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1004285101) 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 47 ways as a sum of consecutive naturals, for example, 8907 + ... + 45693.

Almost surely, 2^1004285100 is an apocalyptic number.

1004285100 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 1004285100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788191104).

1004285100 is an abundant number, since it is smaller than the sum of its proper divisors (2572097108).

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

1004285100 is a wasteful number, since it uses less digits than its factorization.

1004285100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36824 (or 36817 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 1004285100 is about 31690.4575542860. The cubic root of 1004285100 is about 1001.4263312785.

The spelling of 1004285100 in words is "one billion, four million, two hundred eighty-five thousand, one hundred".