11006307 has 16 divisors (see below), whose sum is σ = 17560480. Its totient is φ = 6772896.

The previous prime is 11006297. The next prime is 11006321. The reversal of 11006307 is 70360011.

It is not a de Polignac number, because 11006307 - 2⁶ = 11006243 is a prime.

It is a super-2 number, since 2×11006307² = 242277587556498, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11006307.

It is not an unprimeable number, because it can be changed into a prime (11006357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15328 + ... + 16029.

It is an arithmetic number, because the mean of its divisors is an integer number (1097530).

Almost surely, 2^11006307 is an apocalyptic number.

11006307 is a deficient number, since it is larger than the sum of its proper divisors (6554173).

11006307 is a wasteful number, since it uses less digits than its factorization.

11006307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31379 (or 31373 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 11006307 is about 3317.5754701288. The cubic root of 11006307 is about 222.4405059130.

Adding to 11006307 its reverse (70360011), we get a palindrome (81366318).

The spelling of 11006307 in words is "eleven million, six thousand, three hundred seven".