1005142105 has 16 divisors (see below), whose sum is σ = 1323713664. Its totient is φ = 726628480.

The previous prime is 1005142097. The next prime is 1005142133. The reversal of 1005142105 is 5012415001.

1005142105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1005142105 - 2³ = 1005142097 is a prime.

It is a Duffinian number.

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, 45532 + ... + 63901.

It is an arithmetic number, because the mean of its divisors is an integer number (82732104).

Almost surely, 2^1005142105 is an apocalyptic number.

It is an amenable number.

1005142105 is a deficient number, since it is larger than the sum of its proper divisors (318571559).

1005142105 is a wasteful number, since it uses less digits than its factorization.

1005142105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109616.

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 1005142105 is about 31703.9761701904. The cubic root of 1005142105 is about 1001.7111054482.

Adding to 1005142105 its reverse (5012415001), we get a palindrome (6017557106).

The spelling of 1005142105 in words is "one billion, five million, one hundred forty-two thousand, one hundred five".