1006011105 has 32 divisors (see below), whose sum is σ = 1762024320. Its totient is φ = 486074880.

The previous prime is 1006011103. The next prime is 1006011113. The reversal of 1006011105 is 5011106001.

It is not a de Polignac number, because 1006011105 - 2¹ = 1006011103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1006011103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37941 + ... + 58749.

It is an arithmetic number, because the mean of its divisors is an integer number (55063260).

Almost surely, 2^1006011105 is an apocalyptic number.

1006011105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1006011105 is a deficient number, since it is larger than the sum of its proper divisors (756013215).

1006011105 is a wasteful number, since it uses less digits than its factorization.

1006011105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21121.

The product of its (nonzero) digits is 30, while the sum is 15.

The square root of 1006011105 is about 31717.6781148936. The cubic root of 1006011105 is about 1001.9997002003. Note that the first 3 decimals are identical.

Adding to 1006011105 its reverse (5011106001), we get a palindrome (6017117106).

The spelling of 1006011105 in words is "one billion, six million, eleven thousand, one hundred five".