105105506707016 has 32 divisors (see below), whose sum is σ = 197120961487800. Its totient is φ = 52539917928960.

The previous prime is 105105506706979. The next prime is 105105506707027. The reversal of 105105506707016 is 610707605501501.

It can be written as a sum of positive squares in 4 ways, for example, as 96176346758116 + 8929159948900 = 9806954^2 + 2988170^2 .

It is a super-2 number, since 2×105105506707016² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1286613500 + ... + 1286695188.

Almost surely, 2^{105105506707016} is an apocalyptic number.

It is an amenable number.

105105506707016 is a deficient number, since it is larger than the sum of its proper divisors (92015454780784).

105105506707016 is a wasteful number, since it uses less digits than its factorization.

105105506707016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119009 (or 119005 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 44.

The spelling of 105105506707016 in words is "one hundred five trillion, one hundred five billion, five hundred six million, seven hundred seven thousand, sixteen".