51105 has 8 divisors (see below), whose sum is σ = 81792. Its totient is φ = 27248.

The previous prime is 51071. The next prime is 51109. The reversal of 51105 is 50115.

51105 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 51105 - 2⁸ = 50849 is a prime.

It is a super-2 number, since 2×51105² = 5223442050, which contains 22 as substring.

51105 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (51109) 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, 1689 + ... + 1718.

It is an arithmetic number, because the mean of its divisors is an integer number (10224).

2⁵¹¹⁰⁵ is an apocalyptic number.

It is an amenable number.

51105 is a deficient number, since it is larger than the sum of its proper divisors (30687).

51105 is a wasteful number, since it uses less digits than its factorization.

51105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3415.

The product of its (nonzero) digits is 25, while the sum is 12.

The square root of 51105 is about 226.0641501875. The cubic root of 51105 is about 37.1097302551.

Subtracting from 51105 its reverse (50115), we obtain a triangular number (990 = T₄₄).

It can be divided in two parts, 5110 and 5, that added together give a palindrome (5115).

The spelling of 51105 in words is "fifty-one thousand, one hundred five".