51100 has 36 divisors (see below), whose sum is σ = 128464. Its totient is φ = 17280.

The previous prime is 51071. The next prime is 51109. The reversal of 51100 is 115.

51100 = T₅₉ + T₆₀ + ... + T₇₉.

51100 is nontrivially palindromic in base 9.

It is a super-2 number, since 2×51100² = 5222420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a nialpdrome in base 10.

It is a zygodrome in base 2.

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 664 + ... + 736.

2⁵¹¹⁰⁰ is an apocalyptic number.

51100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64232).

51100 is an abundant number, since it is smaller than the sum of its proper divisors (77364).

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

51100 is a wasteful number, since it uses less digits than its factorization.

51100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 7.

The square root of 51100 is about 226.0530911091. The cubic root of 51100 is about 37.1085199711.

Adding to 51100 its reverse (115), we get a palindrome (51215).

It can be divided in two parts, 51 and 100, that added together give a palindrome (151).

The spelling of 51100 in words is "fifty-one thousand, one hundred".