52107 has 8 divisors (see below), whose sum is σ = 75840. Its totient is φ = 31560.

The previous prime is 52103. The next prime is 52121. The reversal of 52107 is 70125.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 52107 - 2² = 52103 is a prime.

It is a super-3 number, since 3×52107³ = 424433313807129, which contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (52103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 757 + ... + 822.

It is an arithmetic number, because the mean of its divisors is an integer number (9480).

2⁵²¹⁰⁷ is an apocalyptic number.

52107 is a deficient number, since it is larger than the sum of its proper divisors (23733).

52107 is a wasteful number, since it uses less digits than its factorization.

52107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1593.

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 52107 is about 228.2695774737. The cubic root of 52107 is about 37.3506952267.

It can be divided in two parts, 5 and 2107, that added together give a palindrome (2112).

The spelling of 52107 in words is "fifty-two thousand, one hundred seven".