4100 has 18 divisors (see below), whose sum is σ = 9114. Its totient is φ = 1600.

The previous prime is 4099. The next prime is 4111. The reversal of 4100 is 14.

4100 is nontrivially palindromic in base 9.

4100 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 3 ways, for example, as 4 + 4096 = 2^2 + 64^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

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

4100 is an undulating number in base 3.

4100 is a nontrivial repdigit in base 9.

It is a plaindrome in base 9, base 12, base 14 and base 15.

It is a nialpdrome in base 9 and base 10.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 80 + ... + 120.

2⁴¹⁰⁰ 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 4100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4557).

4100 is an abundant number, since it is smaller than the sum of its proper divisors (5014).

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

4100 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 16 representation: 4100 = (1004)₁₆.

4100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 4100 is about 64.0312423743. The cubic root of 4100 is about 16.0052066388.

Adding to 4100 its reverse (14), we get a palindrome (4114).

The spelling of 4100 in words is "four thousand, one hundred", and thus it is an iban number.