1004100224 has 32 divisors (see below), whose sum is σ = 2046887040. Its totient is φ = 490371840.

The previous prime is 1004100221. The next prime is 1004100271. The reversal of 1004100224 is 4220014001.

1004100224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 1004100199 and 1004100208.

It is not an unprimeable number, because it can be changed into a prime (1004100221) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85712 + ... + 96719.

It is an arithmetic number, because the mean of its divisors is an integer number (63965220).

Almost surely, 2^1004100224 is an apocalyptic number.

It is an amenable number.

1004100224 is an abundant number, since it is smaller than the sum of its proper divisors (1042786816).

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

1004100224 is an equidigital number, since it uses as much as digits as its factorization.

1004100224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182488 (or 182476 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1004100224 is about 31687.5405167394. The cubic root of 1004100224 is about 1001.3648775949.

Adding to 1004100224 its reverse (4220014001), we get a palindrome (5224114225).

The spelling of 1004100224 in words is "one billion, four million, one hundred thousand, two hundred twenty-four".