99900010112 has 64 divisors (see below), whose sum is σ = 228272605440. Its totient is φ = 42659619840.

The previous prime is 99900010087. The next prime is 99900010141. The reversal of 99900010112 is 21101000999.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×99900010112³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46937 + ... + 449447.

It is an arithmetic number, because the mean of its divisors is an integer number (3566759460).

Almost surely, 2^99900010112 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 99900010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114136302720).

99900010112 is an abundant number, since it is smaller than the sum of its proper divisors (128372595328).

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

99900010112 is a wasteful number, since it uses less digits than its factorization.

99900010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402809 (or 402797 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 32.

The spelling of 99900010112 in words is "ninety-nine billion, nine hundred million, ten thousand, one hundred twelve".