1005010084 has 48 divisors (see below), whose sum is σ = 1922160240. Its totient is φ = 457021440.

The previous prime is 1005010079. The next prime is 1005010099. The reversal of 1005010084 is 4800105001.

It can be written as a sum of positive squares in 8 ways, for example, as 339370084 + 665640000 = 18422^2 + 25800^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1320264 + ... + 1321024.

It is an arithmetic number, because the mean of its divisors is an integer number (40045005).

Almost surely, 2^1005010084 is an apocalyptic number.

It is an amenable number.

1005010084 is a deficient number, since it is larger than the sum of its proper divisors (917150156).

1005010084 is a wasteful number, since it uses less digits than its factorization.

1005010084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1120 (or 1118 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 1005010084 is about 31701.8940128189. The cubic root of 1005010084 is about 1001.6672467435.

Adding to 1005010084 its reverse (4800105001), we get a palindrome (5805115085).

The spelling of 1005010084 in words is "one billion, five million, ten thousand, eighty-four".