99999105313968 has 300 divisors, whose sum is σ = 336952155473472. Its totient is φ = 28548053372160.

The previous prime is 99999105313927. The next prime is 99999105314023. The reversal of 99999105313968 is 86931350199999.

99999105313968 is a `hidden beast` number, since 9 + 9 + 9 + 9 + 9 + 10 + 531 + 3 + 9 + 68 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 77917953 + ... + 79190943.

Almost surely, 2^{99999105313968} is an apocalyptic number.

99999105313968 is a gapful number since it is divisible by the number (98) 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 99999105313968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168476077736736).

99999105313968 is an abundant number, since it is smaller than the sum of its proper divisors (236953050159504).

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

99999105313968 is a wasteful number, since it uses less digits than its factorization.

99999105313968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274262 (or 1274240 counting only the distinct ones).

The product of its (nonzero) digits is 1147912560, while the sum is 81.

The spelling of 99999105313968 in words is "ninety-nine trillion, nine hundred ninety-nine billion, one hundred five million, three hundred thirteen thousand, nine hundred sixty-eight".