105606310033216 has 14 divisors (see below), whose sum is σ = 209562521472290. Its totient is φ = 52803155016576.

The previous prime is 105606310033201. The next prime is 105606310033223. The reversal of 105606310033216 is 612330013606501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 61235257487616 + 44371052545600 = 7825296^2 + 6661160^2 .

It is a super-3 number, since 3×105606310033216³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent 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 as a sum of consecutive naturals, namely, 825049297071 + ... + 825049297198.

It is an arithmetic number, because the mean of its divisors is an integer number (14968751533735).

Almost surely, 2^{105606310033216} is an apocalyptic number.

105606310033216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105606310033216 is a deficient number, since it is larger than the sum of its proper divisors (103956211439074).

105606310033216 is an equidigital number, since it uses as much as digits as its factorization.

105606310033216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650098594281 (or 1650098594271 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

Adding to 105606310033216 its reverse (612330013606501), we get a palindrome (717936323639717).

The spelling of 105606310033216 in words is "one hundred five trillion, six hundred six billion, three hundred ten million, thirty-three thousand, two hundred sixteen".