105605610016 has 24 divisors (see below), whose sum is σ = 210759145884. Its totient is φ = 52079477760.

The previous prime is 105605610007. The next prime is 105605610041. The reversal of 105605610016 is 610016506501.

It can be written as a sum of positive squares in 2 ways, for example, as 103105210000 + 2500400016 = 321100^2 + 50004^2 .

It is a super-3 number, since 3×105605610016³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105605610016.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 22601605 + ... + 22606276.

Almost surely, 2^105605610016 is an apocalyptic number.

105605610016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105605610016 is a deficient number, since it is larger than the sum of its proper divisors (105153535868).

105605610016 is an equidigital number, since it uses as much as digits as its factorization.

105605610016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45207964 (or 45207956 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 105605610016 in words is "one hundred five billion, six hundred five million, six hundred ten thousand, sixteen".