51104 has 12 divisors (see below), whose sum is σ = 100674. Its totient is φ = 25536.

The previous prime is 51071. The next prime is 51109. The reversal of 51104 is 40115.

It can be written as a sum of positive squares in only one way, i.e., 48400 + 2704 = 220^2 + 52^2 .

It is a super-2 number, since 2×51104² = 5223237632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51109) by changing a digit.

51104 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 767 + ... + 830.

2⁵¹¹⁰⁴ is an apocalyptic number.

It is an amenable number.

51104 is a deficient number, since it is larger than the sum of its proper divisors (49570).

51104 is a wasteful number, since it uses less digits than its factorization.

51104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1607 (or 1599 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 11.

The square root of 51104 is about 226.0619384151. The cubic root of 51104 is about 37.1094882046.

Adding to 51104 its sum of digits (11), we get a palindrome (51115).

Adding to 51104 its reverse (40115), we get a palindrome (91219).

The spelling of 51104 in words is "fifty-one thousand, one hundred four".