10104581088 has 192 divisors, whose sum is σ = 33734776320. Its totient is φ = 2882497536.

The previous prime is 10104581063. The next prime is 10104581101. The reversal of 10104581088 is 88018540101.

It is a happy number.

10104581088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6633895 + ... + 6635417.

It is an arithmetic number, because the mean of its divisors is an integer number (175701960).

Almost surely, 2^10104581088 is an apocalyptic number.

10104581088 is a gapful number since it is divisible by the number (18) 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 10104581088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16867388160).

10104581088 is an abundant number, since it is smaller than the sum of its proper divisors (23630195232).

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

10104581088 is a wasteful number, since it uses less digits than its factorization.

10104581088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2646 (or 2632 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The spelling of 10104581088 in words is "ten billion, one hundred four million, five hundred eighty-one thousand, eighty-eight".