107647107 has 16 divisors (see below), whose sum is σ = 150128640. Its totient is φ = 68480192.

The previous prime is 107647079. The next prime is 107647121. The reversal of 107647107 is 701746701.

It is a cyclic number.

It is not a de Polignac number, because 107647107 - 2¹⁰ = 107646083 is a prime.

It is a super-3 number, since 3×107647107³ (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (107647157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31423 + ... + 34679.

It is an arithmetic number, because the mean of its divisors is an integer number (9383040).

Almost surely, 2^107647107 is an apocalyptic number.

107647107 is a deficient number, since it is larger than the sum of its proper divisors (42481533).

107647107 is a wasteful number, since it uses less digits than its factorization.

107647107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762.

The product of its (nonzero) digits is 8232, while the sum is 33.

The square root of 107647107 is about 10375.3123808394. The cubic root of 107647107 is about 475.7010619173.

It can be divided in two parts, 10764 and 7107, that added together give a palindrome (17871).

The spelling of 107647107 in words is "one hundred seven million, six hundred forty-seven thousand, one hundred seven".