105310614313216 has 243 divisors, whose sum is σ = 230335954293249. Its totient is φ = 48032520247296.

The previous prime is 105310614313193. The next prime is 105310614313393. The reversal of 105310614313216 is 612313416013501.

The square root of 105310614313216 is 10262096.

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

It can be written as a sum of positive squares in only one way, i.e., 15578493241600 + 89732121071616 = 3946960^2 + 9472704^2 .

It is a super-2 number, since 2×105310614313216² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 219855144465 + ... + 219855144943.

Almost surely, 2^{105310614313216} is an apocalyptic number.

105310614313216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105310614313216 is the 10262096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105310614313216

105310614313216 is an abundant number, since it is smaller than the sum of its proper divisors (125025339980033).

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

105310614313216 is an frugal number, since it uses more digits than its factorization.

105310614313216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 105310614313216 in words is "one hundred five trillion, three hundred ten billion, six hundred fourteen million, three hundred thirteen thousand, two hundred sixteen".