105506106050 has 24 divisors (see below), whose sum is σ = 206569851600. Its totient is φ = 39981260880.

The previous prime is 105506105981. The next prime is 105506106077. The reversal of 105506106050 is 50601605501.

It is a super-3 number, since 3×105506106050³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 55528580 + ... + 55530479.

It is an arithmetic number, because the mean of its divisors is an integer number (8607077150).

Almost surely, 2^105506106050 is an apocalyptic number.

105506106050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105506106050 is a deficient number, since it is larger than the sum of its proper divisors (101063745550).

105506106050 is a wasteful number, since it uses less digits than its factorization.

105506106050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111059090 (or 111059085 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 105506106050 in words is "one hundred five billion, five hundred six million, one hundred six thousand, fifty".