10050 has 24 divisors (see below), whose sum is σ = 25296. Its totient is φ = 2640.

The previous prime is 10039. The next prime is 10061. The reversal of 10050 is 5001.

Added to its reverse (5001) it gives a triangular number (15051 = T₁₇₃).

It is an interprime number because it is at equal distance from previous prime (10039) and next prime (10061).

It is a Harshad number since it is a multiple of its sum of digits (6).

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

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 117 + ... + 183.

It is an arithmetic number, because the mean of its divisors is an integer number (1054).

10050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12648).

10050 is an abundant number, since it is smaller than the sum of its proper divisors (15246).

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

10050 is a wasteful number, since it uses less digits than its factorization.

10050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 6.

The square root of 10050 is about 100.2496882788. The cubic root of 10050 is about 21.5801944654.

Adding to 10050 its reverse (5001), we get a palindrome (15051).

The spelling of 10050 in words is "ten thousand, fifty".