105117828641280 has 4480 divisors, whose sum is σ = 482632444546560. Its totient is φ = 21361490657280.

The previous prime is 105117828641249. The next prime is 105117828641291. The reversal of 105117828641280 is 82146828711501.

105117828641280 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 1 + 78 + 2 + 86 + 412 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (4480).

It is a super-2 number, since 2×105117828641280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 756243371451 + ... + 756243371589.

It is an arithmetic number, because the mean of its divisors is an integer number (107730456372).

Almost surely, 2^{105117828641280} is an apocalyptic number.

105117828641280 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 105117828641280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241316222273280).

105117828641280 is an abundant number, since it is smaller than the sum of its proper divisors (377514615905280).

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

105117828641280 is an equidigital number, since it uses as much as digits as its factorization.

105117828641280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 105117828641280 in words is "one hundred five trillion, one hundred seventeen billion, eight hundred twenty-eight million, six hundred forty-one thousand, two hundred eighty".