105505601061101 has 8 divisors (see below), whose sum is σ = 106321551742560. Its totient is φ = 104690463488208.

The previous prime is 105505601061017. The next prime is 105505601061131. The reversal of 105505601061101 is 101160106505501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105505601061101 - 2²² = 105505596866797 is a prime.

It is a super-2 number, since 2×105505601061101² (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 (105505601061131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 203016626 + ... + 203535651.

It is an arithmetic number, because the mean of its divisors is an integer number (13290193967820).

Almost surely, 2^{105505601061101} is an apocalyptic number.

It is an amenable number.

105505601061101 is a deficient number, since it is larger than the sum of its proper divisors (815950681459).

105505601061101 is a wasteful number, since it uses less digits than its factorization.

105505601061101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406554283.

The product of its (nonzero) digits is 4500, while the sum is 32.

Adding to 105505601061101 its reverse (101160106505501), we get a palindrome (206665707566602).

The spelling of 105505601061101 in words is "one hundred five trillion, five hundred five billion, six hundred one million, sixty-one thousand, one hundred one".