5050 has 12 divisors (see below), whose sum is σ = 9486. Its totient is φ = 2000.

The previous prime is 5039. The next prime is 5051. The reversal of 5050 is 505.

5050 is a nontrivial binomial coefficient, being equal to C(101, 2).

It can be written as a sum of positive squares in 3 ways, for example, as 4761 + 289 = 69^2 + 17^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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

5050 is an undulating number in base 10.

It is not an unprimeable number, because it can be changed into a prime (5051) by changing a digit.

It is a Kaprekar number, because its square (25502500) can be partitioned into two parts whose sum is 5050.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1 + ... + 100.

2⁵⁰⁵⁰ is an apocalyptic number.

5050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

5050 is the 100-th triangular number.

5050 is the 34-th centered nonagonal number.

5050 is a deficient number, since it is larger than the sum of its proper divisors (4436).

5050 is a wasteful number, since it uses less digits than its factorization.

5050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 10.

The square root of 5050 is about 71.0633520178. The cubic root of 5050 is about 17.1565697162.

5050 divided by its sum of digits (10) gives a palindrome (505).

5050 divided by its product of nonzero digits (25) gives a palindrome (202).

Adding to 5050 its reverse (505), we get a palindrome (5555).

It can be divided in two parts, 50 and 50, that added together give a square (100 = 10²).

The spelling of 5050 in words is "five thousand, fifty".