1005142160 has 60 divisors (see below), whose sum is σ = 2568744444. Its totient is φ = 365502720.

The previous prime is 1005142147. The next prime is 1005142181. The reversal of 1005142160 is 612415001.

It can be written as a sum of positive squares in 2 ways, for example, as 505530256 + 499611904 = 22484^2 + 22352^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42239 + ... + 61598.

Almost surely, 2^1005142160 is an apocalyptic number.

1005142160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005142160 is an abundant number, since it is smaller than the sum of its proper divisors (1563602284).

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

1005142160 is a wasteful number, since it uses less digits than its factorization.

1005142160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103872 (or 103855 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1005142160 is about 31703.9770375895. The cubic root of 1005142160 is about 1001.7111237189.

Adding to 1005142160 its reverse (612415001), we get a palindrome (1617557161).

The spelling of 1005142160 in words is "one billion, five million, one hundred forty-two thousand, one hundred sixty".