81104000 has 128 divisors (see below), whose sum is σ = 208606320. Its totient is φ = 31334400.

The previous prime is 81103987. The next prime is 81104011. The reversal of 81104000 is 40118.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15429184 + 65674816 = 3928^2 + 8104^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 591932 + ... + 592068.

Almost surely, 2^81104000 is an apocalyptic number.

81104000 is a gapful number since it is divisible by the number (80) 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 81104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104303160).

81104000 is an abundant number, since it is smaller than the sum of its proper divisors (127502320).

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

81104000 is a wasteful number, since it uses less digits than its factorization.

81104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 81104000 is about 9005.7759243721. The cubic root of 81104000 is about 432.8599696183.

Adding to 81104000 its reverse (40118), we get a palindrome (81144118).

The spelling of 81104000 in words is "eighty-one million, one hundred four thousand".