105505106006105 has 32 divisors (see below), whose sum is σ = 137706620303616. Its totient is φ = 77133844111104.

The previous prime is 105505106006101. The next prime is 105505106006197. The reversal of 105505106006105 is 501600601505501.

It is a cyclic number.

It is not a de Polignac number, because 105505106006105 - 2² = 105505106006101 is a prime.

It is a super-2 number, since 2×105505106006105² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105505106006101) 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, 22226999 + ... + 26552771.

It is an arithmetic number, because the mean of its divisors is an integer number (4303331884488).

Almost surely, 2^{105505106006105} is an apocalyptic number.

It is an amenable number.

105505106006105 is a deficient number, since it is larger than the sum of its proper divisors (32201514297511).

105505106006105 is a wasteful number, since it uses less digits than its factorization.

105505106006105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4329537.

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

The spelling of 105505106006105 in words is "one hundred five trillion, five hundred five billion, one hundred six million, six thousand, one hundred five".