1005142106 has 8 divisors (see below), whose sum is σ = 1507884564. Its totient is φ = 502513920.

The previous prime is 1005142097. The next prime is 1005142133. The reversal of 1005142106 is 6012415001.

1005142106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 988536481 + 16605625 = 31441^2 + 4075^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-3 number, since 3×1005142106³ (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1415 + ... + 44858.

Almost surely, 2^1005142106 is an apocalyptic number.

1005142106 is a deficient number, since it is larger than the sum of its proper divisors (502742458).

1005142106 is a wasteful number, since it uses less digits than its factorization.

1005142106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57136.

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

The square root of 1005142106 is about 31703.9761859613. The cubic root of 1005142106 is about 1001.7111057804.

Adding to 1005142106 its reverse (6012415001), we get a palindrome (7017557107).

The spelling of 1005142106 in words is "one billion, five million, one hundred forty-two thousand, one hundred six".