107 has 2 divisors, whose sum is σ = 108. Its totient is φ = 106.

The previous prime is 103. The next prime is 109. The reversal of 107 is 701.

Adding to 107 its reverse (701), we get a palindrome (808).

107 is nontrivially palindromic in base 2 and base 7.

107 is an esthetic number in base 7 and base 11, because in such bases its adjacent digits differ by 1.

It is a strong prime.

It is an emirp because it is prime and its reverse (701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 107 - 2^{2} = 103 is a prime.

It is a super-2 number, since 2×107^{2} = 22898, which contains 22 as substring.

Together with 109, it forms a pair of twin primes.

It is a Chen prime.

It is an alternating number because its digits alternate between odd and even.

107 is an undulating number in base 7.

It is the 5-th primeval number, because it sets a new record (5) in the number of distinct primes that is it possible to write using its digits.

It is a plaindrome in base 4, base 6, base 9, base 12, base 14 and base 16.

It is a nialpdrome in base 11, base 13 and base 15.

It is a junction number, because it is equal to *n*+sod(*n*) for *n* = 94 and 103.

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 as a sum of consecutive naturals, namely, 53 + 54.

It is an arithmetic number, because the mean of its divisors is an integer number (54).

107 is a deficient number, since it is larger than the sum of its proper divisors (1).

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

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

The product of its (nonzero) digits is 7, while the sum is 8.

The square root of 107 is about 10.3440804328. The cubic root of 107 is about 4.7474593985.

The spelling of 107 in words is "one hundred seven", and thus it is an aban number and an iban number.

• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.084 sec. • engine limits •