10088104320 has 576 divisors, whose sum is σ = 41866381440. Its totient is φ = 2229534720.

The previous prime is 10088104309. The next prime is 10088104337. The reversal of 10088104320 is 2340188001.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8748864 + ... + 8750016.

It is an arithmetic number, because the mean of its divisors is an integer number (72684690).

Almost surely, 2^10088104320 is an apocalyptic number.

10088104320 is a gapful number since it is divisible by the number (10) 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 10088104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20933190720).

10088104320 is an abundant number, since it is smaller than the sum of its proper divisors (31778277120).

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

10088104320 is a wasteful number, since it uses less digits than its factorization.

10088104320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1223 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The spelling of 10088104320 in words is "ten billion, eighty-eight million, one hundred four thousand, three hundred twenty".