1010001106 has 16 divisors (see below), whose sum is σ = 1521513720. Its totient is φ = 502835200.

The previous prime is 1010001101. The next prime is 1010001133. The reversal of 1010001106 is 6011000101.

1010001106 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 4 ways, for example, as 869365225 + 140635881 = 29485^2 + 11859^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1010001092 and 1010001101.

It is not an unprimeable number, because it can be changed into a prime (1010001101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 782910 + ... + 784198.

Almost surely, 2^1010001106 is an apocalyptic number.

1010001106 is a deficient number, since it is larger than the sum of its proper divisors (511512614).

1010001106 is a wasteful number, since it uses less digits than its factorization.

1010001106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2669.

The product of its (nonzero) digits is 6, while the sum is 10.

The square root of 1010001106 is about 31780.5145647455. The cubic root of 1010001106 is about 1003.3226497711.

Adding to 1010001106 its reverse (6011000101), we get a palindrome (7021001207).

The spelling of 1010001106 in words is "one billion, ten million, one thousand, one hundred six".