1080436900 has 81 divisors (see below), whose sum is σ = 2488825731. Its totient is φ = 407062080.

The previous prime is 1080436883. The next prime is 1080436913. The reversal of 1080436900 is 96340801.

The square root of 1080436900 is 32870.

It is a perfect power (a square), and thus also a powerful number.

1080436900 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 118940836 + 961496064 = 10906^2 + 31008^2 .

It is a super-2 number, since 2×1080436900² = 2334687789763220000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6245214 + ... + 6245386.

Almost surely, 2^1080436900 is an apocalyptic number.

1080436900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1080436900 is the 32870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1080436900

1080436900 is an abundant number, since it is smaller than the sum of its proper divisors (1408388831).

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

1080436900 is a wasteful number, since it uses less digits than its factorization.

1080436900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The cubic root of 1080436900 is about 1026.1238990749.

Multiplying 1080436900 by its product of nonzero digits (5184), we get a square (5600984889600 = 2366640²).

The spelling of 1080436900 in words is "one billion, eighty million, four hundred thirty-six thousand, nine hundred".