105611105611016 has 32 divisors (see below), whose sum is σ = 202631780920800. Its totient is φ = 51576034608000.

The previous prime is 105611105610961. The next prime is 105611105611069. The reversal of 105611105611016 is 610116501116501.

It is a super-2 number, since 2×105611105611016² (a number of 29 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 7625516 + ... + 16412516.

It is an arithmetic number, because the mean of its divisors is an integer number (6332243153775).

Almost surely, 2^{105611105611016} is an apocalyptic number.

It is an amenable number.

105611105611016 is a deficient number, since it is larger than the sum of its proper divisors (97020675309784).

105611105611016 is a wasteful number, since it uses less digits than its factorization.

105611105611016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8821989 (or 8821985 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 35.

Adding to 105611105611016 its reverse (610116501116501), we get a palindrome (715727606727517).

The spelling of 105611105611016 in words is "one hundred five trillion, six hundred eleven billion, one hundred five million, six hundred eleven thousand, sixteen".