1005224100 has 144 divisors (see below), whose sum is σ = 3027931200. Its totient is φ = 257169920.

The previous prime is 1005224047. The next prime is 1005224111. The reversal of 1005224100 is 14225001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1005224100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1974646 + ... + 1975154.

It is an arithmetic number, because the mean of its divisors is an integer number (21027300).

Almost surely, 2^1005224100 is an apocalyptic number.

1005224100 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 1005224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513965600).

1005224100 is an abundant number, since it is smaller than the sum of its proper divisors (2022707100).

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

1005224100 is a wasteful number, since it uses less digits than its factorization.

1005224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1005224100 is about 31705.2692781500. The cubic root of 1005224100 is about 1001.7383430790.

Adding to 1005224100 its reverse (14225001), we get a palindrome (1019449101).

Subtracting from 1005224100 its reverse (14225001), we obtain a palindrome (990999099).

The spelling of 1005224100 in words is "one billion, five million, two hundred twenty-four thousand, one hundred".