1101100 has 108 divisors (see below), whose sum is σ = 3232432. Its totient is φ = 316800.

The previous prime is 1101097. The next prime is 1101103. The reversal of 1101100 is 11011.

It is an interprime number because it is at equal distance from previous prime (1101097) and next prime (1101103).

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1101100.

It is not an unprimeable number, because it can be changed into a prime (1101103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 84694 + ... + 84706.

2^1101100 is an apocalyptic number.

1101100 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 1101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616216).

1101100 is an abundant number, since it is smaller than the sum of its proper divisors (2131332).

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

1101100 is a wasteful number, since it uses less digits than its factorization.

1101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

The square root of 1101100 is about 1049.3331215586. Note that the first 3 decimals coincide. The cubic root of 1101100 is about 103.2624094194.

Adding to 1101100 its reverse (11011), we get a palindrome (1112111).

Multiplying 1101100 by its reverse (11011), we get a square (12124212100 = 110110²).

1101100 divided by its reverse (11011) gives a square (100 = 10²).

It can be divided in two parts, 1 and 101100, that added together give a palindrome (101101).

The spelling of 1101100 in words is "one million, one hundred one thousand, one hundred".