105605362061050 has 96 divisors (see below), whose sum is σ = 200305145721600. Its totient is φ = 41415988373760.

The previous prime is 105605362061033. The next prime is 105605362061081. The reversal of 105605362061050 is 50160263506501.

It is a super-2 number, since 2×105605362061050² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105605362060994 and 105605362061012.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 565037016 + ... + 565223884.

It is an arithmetic number, because the mean of its divisors is an integer number (2086511934600).

Almost surely, 2^{105605362061050} is an apocalyptic number.

105605362061050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105605362061050 is a deficient number, since it is larger than the sum of its proper divisors (94699783660550).

105605362061050 is a wasteful number, since it uses less digits than its factorization.

105605362061050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187960 (or 187955 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 40.

The spelling of 105605362061050 in words is "one hundred five trillion, six hundred five billion, three hundred sixty-two million, sixty-one thousand, fifty".