105068430305280 has 480 divisors, whose sum is σ = 405566918757000. Its totient is φ = 25862995574784.

The previous prime is 105068430305269. The next prime is 105068430305297. The reversal of 105068430305280 is 82503034860501.

105068430305280 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 68 + 4 + 3 + 0 + 305 + 280 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54796473271296 + 50271957033984 = 7402464^2 + 7090272^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×105068430305280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5910646 + ... + 15654794.

Almost surely, 2^{105068430305280} is an apocalyptic number.

105068430305280 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 105068430305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202783459378500).

105068430305280 is an abundant number, since it is smaller than the sum of its proper divisors (300498488451720).

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

105068430305280 is an equidigital number, since it uses as much as digits as its factorization.

105068430305280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9744201 (or 9744172 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 105068430305280 in words is "one hundred five trillion, sixty-eight billion, four hundred thirty million, three hundred five thousand, two hundred eighty".