1081094400 has 243 divisors, whose sum is σ = 3893575231. Its totient is φ = 286187520.

The previous prime is 1081094387. The next prime is 1081094419. The reversal of 1081094400 is 44901801.

The square root of 1081094400 is 32880.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3154176 + 1077940224 = 1776^2 + 32832^2 .

It is a super-2 number, since 2×1081094400² = 2337530203422720000, which contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7891132 + ... + 7891268.

Almost surely, 2^1081094400 is an apocalyptic number.

1081094400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1081094400 is the 32880-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1081094400

1081094400 is an abundant number, since it is smaller than the sum of its proper divisors (2812480831).

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

1081094400 is an equidigital number, since it uses as much as digits as its factorization.

1081094400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The cubic root of 1081094400 is about 1026.3320061384.

The spelling of 1081094400 in words is "one billion, eighty-one million, ninety-four thousand, four hundred".