48100 has 36 divisors (see below), whose sum is σ = 115444. Its totient is φ = 17280.

The previous prime is 48091. The next prime is 48109. The reversal of 48100 is 184.

It is an interprime number because it is at equal distance from previous prime (48091) and next prime (48109).

It can be written as a sum of positive squares in 6 ways, for example, as 576 + 47524 = 24^2 + 218^2 .

It is a super-3 number, since 3×48100³ = 333853923000000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (48109) by changing a digit.

48100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1282 + ... + 1318.

2⁴⁸¹⁰⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57722).

48100 is an abundant number, since it is smaller than the sum of its proper divisors (67344).

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

48100 is a wasteful number, since it uses less digits than its factorization.

48100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 48100 is about 219.3171219946. The cubic root of 48100 is about 36.3676321367.

Adding to 48100 its reverse (184), we get a palindrome (48284).

It can be divided in two parts, 4 and 8100, that multiplied together give a square (32400 = 180²).

The spelling of 48100 in words is "forty-eight thousand, one hundred".