105099476716080 has 960 divisors, whose sum is σ = 449202499200000. Its totient is φ = 21830636298240.

The previous prime is 105099476716057. The next prime is 105099476716093. The reversal of 105099476716080 is 80617674990501.

105099476716080 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 99 + 476 + 71 + 6 + 0 + 8 + 0 = 666.

105099476716080 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105099476716080² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 105099476715999 and 105099476716017.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9505237912 + ... + 9505248968.

It is an arithmetic number, because the mean of its divisors is an integer number (467919270000).

Almost surely, 2^{105099476716080} is an apocalyptic number.

105099476716080 is a gapful number since it is divisible by the number (10) 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 105099476716080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224601249600000).

105099476716080 is an abundant number, since it is smaller than the sum of its proper divisors (344103022483920).

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

105099476716080 is a wasteful number, since it uses less digits than its factorization.

105099476716080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14607 (or 14584 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 105099476716080 in words is "one hundred five trillion, ninety-nine billion, four hundred seventy-six million, seven hundred sixteen thousand, eighty".