11005101 has 6 divisors (see below), whose sum is σ = 15896270. Its totient is φ = 7336728.

The previous prime is 11005091. The next prime is 11005151. The reversal of 11005101 is 10150011.

It can be written as a sum of positive squares in only one way, i.e., 10989225 + 15876 = 3315^2 + 126^2 .

It is not a de Polignac number, because 11005101 - 2⁶ = 11005037 is a prime.

It is a super-2 number, since 2×11005101² = 242224496040402, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1222789 = 11005101 / (1 + 1 + 0 + 0 + 5 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11005151) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 611386 + ... + 611403.

Almost surely, 2^11005101 is an apocalyptic number.

It is an amenable number.

11005101 is a deficient number, since it is larger than the sum of its proper divisors (4891169).

11005101 is a wasteful number, since it uses less digits than its factorization.

11005101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222795 (or 1222792 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

The square root of 11005101 is about 3317.3937059083. The cubic root of 11005101 is about 222.4323810851.

Adding to 11005101 its reverse (10150011), we get a palindrome (21155112).

The spelling of 11005101 in words is "eleven million, five thousand, one hundred one".