1100 has 18 divisors (see below), whose sum is σ = 2604. Its totient is φ = 400.
The previous prime is 1097. The next prime is 1103. The reversal of 1100 is 11.
It is an interprime number because it is at equal distance from previous prime (1097) and next prime (1103).
It is a sliding number, since 1100 = 100 + 1000 and 1/100 + 1/1000 = 0.01100.
It is a Harshad number since it is a multiple of its sum of digits (2).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
1100 is an undulating number in base 7.
It is a plaindrome in base 12, base 13, base 14 and base 16.
It is a nialpdrome in base 10 and base 11.
It is a zygodrome in base 10.
It is not an unprimeable number, because it can be changed into a prime (1103) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95 + ... + 105.
1100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302).
1100 is an abundant number, since it is smaller than the sum of its proper divisors (1504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1100 is a wasteful number, since it uses less digits than its factorization.
1100 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 25 (or 18 counting only the distinct ones).
The product of its (nonzero) digits is 1, while the sum is 2.
The square root of 1100 is about 33.1662479036. The cubic root of 1100 is about 10.3228011546.
Adding to 1100 its reverse (11), we get a palindrome (1111).
Subtracting from 1100 its reverse (11), we obtain a square (1089 = 332).
Multiplying 1100 by its reverse (11), we get a square (12100 = 1102).
1100 divided by its reverse (11) gives a square (100 = 102).
It can be divided in two parts, 1 and 100, that added together give a palindrome (101).
The spelling of 1100 in words is "one thousand, one hundred", and thus it is an iban number.
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