105666610550 has 24 divisors (see below), whose sum is σ = 196557872616. Its totient is φ = 42262778240.

The previous prime is 105666610529. The next prime is 105666610573. The reversal of 105666610550 is 55016666501.

It is a super-2 number, since 2×105666610550² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105666610498 and 105666610507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 490817 + ... + 672483.

It is an arithmetic number, because the mean of its divisors is an integer number (8189911359).

Almost surely, 2^105666610550 is an apocalyptic number.

105666610550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105666610550 is a deficient number, since it is larger than the sum of its proper divisors (90891262066).

105666610550 is a wasteful number, since it uses less digits than its factorization.

105666610550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193312 (or 193307 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 41.

The spelling of 105666610550 in words is "one hundred five billion, six hundred sixty-six million, six hundred ten thousand, five hundred fifty".