1107 has 8 divisors (see below), whose sum is σ = 1680. Its totient is φ = 720.

The previous prime is 1103. The next prime is 1109. The reversal of 1107 is 7011.

Adding to 1107 its reverse (7011), we get a palindrome (8118).

1107 is an esthetic number in base 8, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 1107 - 2^{2} = 1103 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

1107 is a lucky number.

It is an inconsummate number, since it does not exist a number *n* which divided by its sum of digits gives 1107.

It is not an unprimeable number, because it can be changed into a prime (1103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7 + ... + 47.

It is an arithmetic number, because the mean of its divisors is an integer number (210).

1107 is a deficient number, since it is larger than the sum of its proper divisors (573).

1107 is an equidigital number, since it uses as much as digits as its factorization.

1107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 7, while the sum is 9.

The square root of 1107 is about 33.2716095192. The cubic root of 1107 is about 10.3446517211.

The spelling of 1107 in words is "one thousand, one hundred seven", and thus it is an iban number.

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