127104 has 32 divisors (see below), whose sum is σ = 338640. Its totient is φ = 42240.

The previous prime is 127103. The next prime is 127123. The reversal of 127104 is 401721.

It is a tau number, because it is divible by the number of its divisors (32).

It is a plaindrome in base 14.

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 3 ways as a sum of consecutive naturals, for example, 219 + ... + 549.

2¹²⁷¹⁰⁴ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 127104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169320).

127104 is an abundant number, since it is smaller than the sum of its proper divisors (211536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

127104 is an equidigital number, since it uses as much as digits as its factorization.

127104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 15.

The square root of 127104 is about 356.5164792825. The cubic root of 127104 is about 50.2789739096.

Adding to 127104 its reverse (401721), we get a palindrome (528825).

It can be divided in two parts, 127 and 104, that added together give a triangular number (231 = T₂₁).

The spelling of 127104 in words is "one hundred twenty-seven thousand, one hundred four", and thus it is an iban number.