127107 has 12 divisors (see below), whose sum is σ = 190320. Its totient is φ = 81648.

The previous prime is 127103. The next prime is 127123. The reversal of 127107 is 701721.

Added to its reverse (701721) it gives a triangular number (828828 = T₁₂₈₇).

It is not a de Polignac number, because 127107 - 2² = 127103 is a prime.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 127107.

It is not an unprimeable number, because it can be changed into a prime (127103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18 + ... + 504.

It is an arithmetic number, because the mean of its divisors is an integer number (15860).

2¹²⁷¹⁰⁷ is an apocalyptic number.

127107 is a deficient number, since it is larger than the sum of its proper divisors (63213).

127107 is a wasteful number, since it uses less digits than its factorization.

127107 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 127107 is about 356.5206866368. The cubic root of 127107 is about 50.2793694800.

Adding to 127107 its reverse (701721), we get a palindrome (828828).

The spelling of 127107 in words is "one hundred twenty-seven thousand, one hundred seven", and thus it is an iban number.