81054900 has 108 divisors (see below), whose sum is σ = 256632012. Its totient is φ = 21396480.

The previous prime is 81054899. The next prime is 81054937. The reversal of 81054900 is 945018.

It can be written as a sum of positive squares in 6 ways, for example, as 16990884 + 64064016 = 4122^2 + 8004^2 .

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 101302 + ... + 102098.

Almost surely, 2^81054900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81054900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128316006).

81054900 is an abundant number, since it is smaller than the sum of its proper divisors (175577112).

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

81054900 is a wasteful number, since it uses less digits than its factorization.

81054900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 81054900 is about 9003.0494833695. The cubic root of 81054900 is about 432.7726014866.

Adding to 81054900 its reverse (945018), we get a palindrome (81999918).

The spelling of 81054900 in words is "eighty-one million, fifty-four thousand, nine hundred".