1005142116 has 48 divisors (see below), whose sum is σ = 2563057728. Its totient is φ = 304051200.

The previous prime is 1005142097. The next prime is 1005142133. The reversal of 1005142116 is 6112415001.

It is a junction number, because it is equal to n+sod(n) for n = 1005142092 and 1005142101.

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, 71856 + ... + 84696.

It is an arithmetic number, because the mean of its divisors is an integer number (53397036).

Almost surely, 2^1005142116 is an apocalyptic number.

It is an amenable number.

1005142116 is an abundant number, since it is smaller than the sum of its proper divisors (1557915612).

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

1005142116 is a wasteful number, since it uses less digits than its factorization.

1005142116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13452 (or 13450 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1005142116 is about 31703.9763436702. The cubic root of 1005142116 is about 1001.7111091023.

Adding to 1005142116 its reverse (6112415001), we get a palindrome (7117557117).

The spelling of 1005142116 in words is "one billion, five million, one hundred forty-two thousand, one hundred sixteen".