81106300 has 54 divisors (see below), whose sum is σ = 193484144. Its totient is φ = 29488800.

The previous prime is 81106283. The next prime is 81106309. The reversal of 81106300 is 360118.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81106309) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8749 + ... + 15451.

Almost surely, 2^81106300 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 81106300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96742072).

81106300 is an abundant number, since it is smaller than the sum of its proper divisors (112377844).

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

81106300 is a wasteful number, since it uses less digits than its factorization.

81106300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6739 (or 6721 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 81106300 is about 9005.9036192933. The cubic root of 81106300 is about 432.8640613545.

Adding to 81106300 its reverse (360118), we get a palindrome (81466418).

It can be divided in two parts, 81106 and 300, that added together give a triangular number (81406 = T₄₀₃).

The spelling of 81106300 in words is "eighty-one million, one hundred six thousand, three hundred".