1088100 has 144 divisors (see below), whose sum is σ = 3888640. Its totient is φ = 259200.

The previous prime is 1088093. The next prime is 1088123. The reversal of 1088100 is 18801.

It is a happy number.

It is a super-2 number, since 2×1088100² = 2367923220000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35085 + ... + 35115.

2^1088100 is an apocalyptic number.

1088100 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 1088100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944320).

1088100 is an abundant number, since it is smaller than the sum of its proper divisors (2800540).

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

1088100 is a wasteful number, since it uses less digits than its factorization.

1088100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

The square root of 1088100 is about 1043.1203190428. The cubic root of 1088100 is about 102.8544146102.

The spelling of 1088100 in words is "one million, eighty-eight thousand, one hundred".