105505511060061 has 20 divisors (see below), whose sum is σ = 180122283433312. Its totient is φ = 60288863462568.

The previous prime is 105505511060009. The next prime is 105505511060063. The reversal of 105505511060061 is 160060115505501.

It is a happy number.

It is not a de Polignac number, because 105505511060061 - 2¹³ = 105505511051869 is a prime.

It is a super-2 number, since 2×105505511060061² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105505511059998 and 105505511060025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505511060063) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 93038368975 + ... + 93038370108.

Almost surely, 2^{105505511060061} is an apocalyptic number.

It is an amenable number.

105505511060061 is a deficient number, since it is larger than the sum of its proper divisors (74616772373251).

105505511060061 is an equidigital number, since it uses as much as digits as its factorization.

105505511060061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186076739102 (or 186076739093 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 36.

Adding to 105505511060061 its reverse (160060115505501), we get a palindrome (265565626565562).

The spelling of 105505511060061 in words is "one hundred five trillion, five hundred five billion, five hundred eleven million, sixty thousand, sixty-one".