99241519104 has 288 divisors, whose sum is σ = 352778549760. Its totient is φ = 26173145088.

The previous prime is 99241519073. The next prime is 99241519141. The reversal of 99241519104 is 40191514299.

99241519104 is a `hidden beast` number, since 9 + 9 + 24 + 1 + 519 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×99241519104² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 99241519104.

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 23 ways as a sum of consecutive naturals, for example, 1647729 + ... + 1706895.

It is an arithmetic number, because the mean of its divisors is an integer number (1224925520).

Almost surely, 2^99241519104 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 99241519104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176389274880).

99241519104 is an abundant number, since it is smaller than the sum of its proper divisors (253537030656).

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

99241519104 is a wasteful number, since it uses less digits than its factorization.

99241519104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59215 (or 59192 counting only the distinct ones).

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

The spelling of 99241519104 in words is "ninety-nine billion, two hundred forty-one million, five hundred nineteen thousand, one hundred four".