10099218816 has 96 divisors (see below), whose sum is σ = 29290809600. Its totient is φ = 3339850752.

The previous prime is 10099218761. The next prime is 10099218817. The reversal of 10099218816 is 61881299001.

10099218816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10099218817) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 111790 + ... + 180818.

It is an arithmetic number, because the mean of its divisors is an integer number (305112600).

Almost surely, 2^10099218816 is an apocalyptic number.

10099218816 is a gapful number since it is divisible by the number (16) 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 10099218816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14645404800).

10099218816 is an abundant number, since it is smaller than the sum of its proper divisors (19191590784).

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

10099218816 is a wasteful number, since it uses less digits than its factorization.

10099218816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69176 (or 69161 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The spelling of 10099218816 in words is "ten billion, ninety-nine million, two hundred eighteen thousand, eight hundred sixteen".