99102153168 has 120 divisors (see below), whose sum is σ = 279231413760. Its totient is φ = 32810169600.

The previous prime is 99102153113. The next prime is 99102153217. The reversal of 99102153168 is 86135120199.

99102153168 is a `hidden beast` number, since 9 + 9 + 102 + 1 + 531 + 6 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48602293 + ... + 48604331.

It is an arithmetic number, because the mean of its divisors is an integer number (2326928448).

Almost surely, 2^99102153168 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 99102153168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139615706880).

99102153168 is an abundant number, since it is smaller than the sum of its proper divisors (180129260592).

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

99102153168 is a wasteful number, since it uses less digits than its factorization.

99102153168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4177 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The spelling of 99102153168 in words is "ninety-nine billion, one hundred two million, one hundred fifty-three thousand, one hundred sixty-eight".