105454995842304 has 288 divisors, whose sum is σ = 322635229056000. Its totient is φ = 33936083951616.

The previous prime is 105454995842269. The next prime is 105454995842323. The reversal of 105454995842304 is 403248599454501.

It is a happy number.

105454995842304 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 5 + 49 + 9 + 584 + 2 + 3 + 0 + 4 = 666.

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

It is a super-2 number, since 2×105454995842304² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2597585334 + ... + 2597625930.

It is an arithmetic number, because the mean of its divisors is an integer number (1120261212000).

Almost surely, 2^{105454995842304} 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 105454995842304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161317614528000).

105454995842304 is an abundant number, since it is smaller than the sum of its proper divisors (217180233213696).

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

105454995842304 is a wasteful number, since it uses less digits than its factorization.

105454995842304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53610 (or 53590 counting only the distinct ones).

The product of its (nonzero) digits is 124416000, while the sum is 63.

The spelling of 105454995842304 in words is "one hundred five trillion, four hundred fifty-four billion, nine hundred ninety-five million, eight hundred forty-two thousand, three hundred four".