1801100 has 72 divisors (see below), whose sum is σ = 4666368. Its totient is φ = 590400.

The previous prime is 1801091. The next prime is 1801109. The reversal of 1801100 is 11081.

It is an interprime number because it is at equal distance from previous prime (1801091) and next prime (1801109).

It is a super-2 number, since 2×1801100² = 6487922420000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1801109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21659 + ... + 21741.

2^1801100 is an apocalyptic number.

1801100 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 1801100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333184).

1801100 is an abundant number, since it is smaller than the sum of its proper divisors (2865268).

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

1801100 is a wasteful number, since it uses less digits than its factorization.

1801100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

The square root of 1801100 is about 1342.0506696843. The cubic root of 1801100 is about 121.6688142070.

Adding to 1801100 its reverse (11081), we get a palindrome (1812181).

The spelling of 1801100 in words is "one million, eight hundred one thousand, one hundred".