105551510166 has 48 divisors (see below), whose sum is σ = 235677942864. Its totient is φ = 34116023232.

The previous prime is 105551510161. The next prime is 105551510177. The reversal of 105551510166 is 661015155501.

It is a happy number.

It is a super-2 number, since 2×105551510166² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105551510166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105551510161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75316 + ... + 465591.

It is an arithmetic number, because the mean of its divisors is an integer number (4909957143).

Almost surely, 2^105551510166 is an apocalyptic number.

105551510166 is an abundant number, since it is smaller than the sum of its proper divisors (130126432698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105551510166 is a wasteful number, since it uses less digits than its factorization.

105551510166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541245 (or 541242 counting only the distinct ones).

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

Adding to 105551510166 its reverse (661015155501), we get a palindrome (766566665667).

The spelling of 105551510166 in words is "one hundred five billion, five hundred fifty-one million, five hundred ten thousand, one hundred sixty-six".