105005100566501 has 16 divisors (see below), whose sum is σ = 107308606464000. Its totient is φ = 102704505168048.

The previous prime is 105005100566467. The next prime is 105005100566543. The reversal of 105005100566501 is 105665001500501.

It is a cyclic number.

It is not a de Polignac number, because 105005100566501 - 2²⁶ = 105005033457637 is a prime.

It is a super-2 number, since 2×105005100566501² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105005100556501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 480245600 + ... + 480464198.

It is an arithmetic number, because the mean of its divisors is an integer number (6706787904000).

Almost surely, 2^{105005100566501} is an apocalyptic number.

It is an amenable number.

105005100566501 is a deficient number, since it is larger than the sum of its proper divisors (2303505897499).

105005100566501 is a wasteful number, since it uses less digits than its factorization.

105005100566501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225208.

The product of its (nonzero) digits is 22500, while the sum is 35.

The spelling of 105005100566501 in words is "one hundred five trillion, five billion, one hundred million, five hundred sixty-six thousand, five hundred one".