105611550165 has 32 divisors (see below), whose sum is σ = 204822403200. Its totient is φ = 51205599360.

The previous prime is 105611550151. The next prime is 105611550199. The reversal of 105611550165 is 561055116501.

It is a happy number.

It is not a de Polignac number, because 105611550165 - 2⁶ = 105611550101 is a prime.

It is a super-2 number, since 2×105611550165² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35557960 + ... + 35560929.

It is an arithmetic number, because the mean of its divisors is an integer number (6400700100).

Almost surely, 2^105611550165 is an apocalyptic number.

105611550165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105611550165 is a deficient number, since it is larger than the sum of its proper divisors (99210853035).

105611550165 is a wasteful number, since it uses less digits than its factorization.

105611550165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71118914 (or 71118908 counting only the distinct ones).

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

Adding to 105611550165 its reverse (561055116501), we get a palindrome (666666666666).

It can be divided in two parts, 1056 and 11550165, that added together give a triangular number (11551221 = T₄₈₀₆).

The spelling of 105611550165 in words is "one hundred five billion, six hundred eleven million, five hundred fifty thousand, one hundred sixty-five".