105693285964176 has 225 divisors, whose sum is σ = 310824678978359. Its totient is φ = 33524700751872.

The previous prime is 105693285964117. The next prime is 105693285964193. The reversal of 105693285964176 is 671469582396501.

It is a happy number.

The square root of 105693285964176 is 10280724.

It is a perfect power (a square), and thus also a powerful number.

105693285964176 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 9 + 3 + 28 + 596 + 4 + 1 + 7 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28078595557776 + 77614690406400 = 5298924^2 + 8809920^2 .

It is a super-2 number, since 2×105693285964176² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 547633605936 + ... + 547633606128.

It is a 1-persistent number, because it is pandigital, but 2⋅105693285964176 = 211386571928352 is not.

Almost surely, 2^{105693285964176} is an apocalyptic number.

105693285964176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105693285964176 is the 10280724-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105693285964176

105693285964176 is an abundant number, since it is smaller than the sum of its proper divisors (205131393014183).

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

105693285964176 is an frugal number, since it uses more digits than its factorization.

105693285964176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 105693285964176 in words is "one hundred five trillion, six hundred ninety-three billion, two hundred eighty-five million, nine hundred sixty-four thousand, one hundred seventy-six".