1082900 has 108 divisors (see below), whose sum is σ = 3116988. Its totient is φ = 322560.

The previous prime is 1082891. The next prime is 1082911. The reversal of 1082900 is 92801.

1082900 = 196² + 197² + ... + 220².

It can be written as a sum of positive squares in 6 ways, for example, as 38416 + 1044484 = 196^2 + 1022^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 63692 + ... + 63708.

It is an arithmetic number, because the mean of its divisors is an integer number (28861).

2^1082900 is an apocalyptic number.

1082900 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 1082900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1558494).

1082900 is an abundant number, since it is smaller than the sum of its proper divisors (2034088).

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

1082900 is a wasteful number, since it uses less digits than its factorization.

1082900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1082900 is about 1040.6248123123. The cubic root of 1082900 is about 102.6903067692.

1082900 divided by its sum of digits (20) gives a palindrome (54145).

Subtracting from 1082900 its reverse (92801), we obtain a palindrome (990099).

The spelling of 1082900 in words is "one million, eighty-two thousand, nine hundred".