1006711101 has 12 divisors (see below), whose sum is σ = 1586332800. Its totient is φ = 610127880.

The previous prime is 1006711061. The next prime is 1006711103. The reversal of 1006711101 is 1011176001.

It is not a de Polignac number, because 1006711101 - 2⁶ = 1006711037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006711103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5084301 + ... + 5084498.

It is an arithmetic number, because the mean of its divisors is an integer number (132194400).

Almost surely, 2^1006711101 is an apocalyptic number.

1006711101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1006711101 is a deficient number, since it is larger than the sum of its proper divisors (579621699).

1006711101 is a wasteful number, since it uses less digits than its factorization.

1006711101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10168816 (or 10168813 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 18.

The square root of 1006711101 is about 31728.7109886298. The cubic root of 1006711101 is about 1002.2320479220.

Adding to 1006711101 its reverse (1011176001), we get a palindrome (2017887102).

The spelling of 1006711101 in words is "one billion, six million, seven hundred eleven thousand, one hundred one".