50100 has 36 divisors (see below), whose sum is σ = 145824. Its totient is φ = 13280.

The previous prime is 50093. The next prime is 50101. The reversal of 50100 is 105.

50100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (50101) 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, 217 + ... + 383.

2⁵⁰¹⁰⁰ is an apocalyptic number.

50100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

50100 is the 120-th nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 50100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72912).

50100 is an abundant number, since it is smaller than the sum of its proper divisors (95724).

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

50100 is a wasteful number, since it uses less digits than its factorization.

50100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 177 counting only the distinct ones).

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

The square root of 50100 is about 223.8302928560. The cubic root of 50100 is about 36.8648588411.

Adding to 50100 its reverse (105), we get a palindrome (50205).

The spelling of 50100 in words is "fifty thousand, one hundred".