1005350105 has 32 divisors (see below), whose sum is σ = 1283420160. Its totient is φ = 754709760.

The previous prime is 1005350009. The next prime is 1005350111. The reversal of 1005350105 is 5010535001.

It is a happy number.

It is not a de Polignac number, because 1005350105 - 2¹² = 1005346009 is a prime.

It is a super-2 number, since 2×1005350105² = 2021457667247022050, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2387795 + ... + 2388215.

It is an arithmetic number, because the mean of its divisors is an integer number (40106880).

Almost surely, 2^1005350105 is an apocalyptic number.

It is an amenable number.

1005350105 is a deficient number, since it is larger than the sum of its proper divisors (278070055).

1005350105 is a wasteful number, since it uses less digits than its factorization.

1005350105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881.

The product of its (nonzero) digits is 375, while the sum is 20.

The square root of 1005350105 is about 31707.2563461426. The cubic root of 1005350105 is about 1001.7801973502.

Adding to 1005350105 its reverse (5010535001), we get a palindrome (6015885106).

The spelling of 1005350105 in words is "one billion, five million, three hundred fifty thousand, one hundred five".