1005305010 has 128 divisors (see below), whose sum is σ = 2673043200. Its totient is φ = 240952320.

The previous prime is 1005305003. The next prime is 1005305023. The reversal of 1005305010 is 105035001.

It is a super-2 number, since 2×1005305010² = 2021276326262200200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1007832 + ... + 1008828.

It is an arithmetic number, because the mean of its divisors is an integer number (20883150).

Almost surely, 2^1005305010 is an apocalyptic number.

1005305010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005305010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1336521600).

1005305010 is an abundant number, since it is smaller than the sum of its proper divisors (1667738190).

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

1005305010 is a wasteful number, since it uses less digits than its factorization.

1005305010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116.

The product of its (nonzero) digits is 75, while the sum is 15.

The square root of 1005305010 is about 31706.5452233447. The cubic root of 1005305010 is about 1001.7652188357.

The spelling of 1005305010 in words is "one billion, five million, three hundred five thousand, ten".