105011505202017 has 32 divisors (see below), whose sum is σ = 147187328882688. Its totient is φ = 66466976754816.

The previous prime is 105011505201997. The next prime is 105011505202031. The reversal of 105011505202017 is 710202505110501.

It is not a de Polignac number, because 105011505202017 - 2²⁸ = 105011236766561 is a prime.

It is a super-2 number, since 2×105011505202017² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105011505202117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77437938 + ... + 78782340.

It is an arithmetic number, because the mean of its divisors is an integer number (4599604027584).

Almost surely, 2^{105011505202017} is an apocalyptic number.

It is an amenable number.

105011505202017 is a deficient number, since it is larger than the sum of its proper divisors (42175823680671).

105011505202017 is a wasteful number, since it uses less digits than its factorization.

105011505202017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1352829.

The product of its (nonzero) digits is 3500, while the sum is 30.

The spelling of 105011505202017 in words is "one hundred five trillion, eleven billion, five hundred five million, two hundred two thousand, seventeen".