3100 has 18 divisors (see below), whose sum is σ = 6944. Its totient is φ = 1200.

The previous prime is 3089. The next prime is 3109. The reversal of 3100 is 13.

It is a happy number.

3100 is nontrivially palindromic in base 9 and base 16.

It is a super-2 number, since 2×3100^{2} = 19220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (4).

3100 is an undulating number in base 16.

It is a plaindrome in base 11.

It is a nialpdrome in base 5, base 10 and base 15.

It is a zygodrome in base 2 and base 5.

It is a self number, because there is not a number *n* which added to its sum of digits gives 3100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85 + ... + 115.

2^{3100} 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 3100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3472).

3100 is an abundant number, since it is smaller than the sum of its proper divisors (3844).

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

3100 is a wasteful number, since it uses less digits than its factorization.

3100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 4.

The square root of 3100 is about 55.6776436283. The cubic root of 3100 is about 14.5809973583.

Adding to 3100 its reverse (13), we get a palindrome (3113).

The spelling of 3100 in words is "three thousand, one hundred", and thus it is an iban number.

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