1005345020 has 24 divisors (see below), whose sum is σ = 2111827200. Its totient is φ = 402023232.

The previous prime is 1005345017. The next prime is 1005345023. The reversal of 1005345020 is 205435001.

It is an interprime number because it is at equal distance from previous prime (1005345017) and next prime (1005345023).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1005344983 and 1005345001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005345023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117446 + ... + 125714.

It is an arithmetic number, because the mean of its divisors is an integer number (87992800).

Almost surely, 2^1005345020 is an apocalyptic number.

1005345020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005345020 is an abundant number, since it is smaller than the sum of its proper divisors (1106482180).

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

1005345020 is a wasteful number, since it uses less digits than its factorization.

1005345020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14357 (or 14355 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 1005345020 is about 31707.1761593492. The cubic root of 1005345020 is about 1001.7785083661.

The spelling of 1005345020 in words is "one billion, five million, three hundred forty-five thousand, twenty".