105606110050 has 48 divisors (see below), whose sum is σ = 226711150272. Its totient is φ = 35849304000.

The previous prime is 105606110003. The next prime is 105606110059. The reversal of 105606110050 is 50011606501.

It is a super-3 number, since 3×105606110050³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a junction number, because it is equal to n+sod(n) for n = 105606109997 and 105606110024.

It is not an unprimeable number, because it can be changed into a prime (105606110059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1458372 + ... + 1529071.

It is an arithmetic number, because the mean of its divisors is an integer number (4723148964).

Almost surely, 2^105606110050 is an apocalyptic number.

105606110050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105606110050 is an abundant number, since it is smaller than the sum of its proper divisors (121105040222).

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

105606110050 is a wasteful number, since it uses less digits than its factorization.

105606110050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987563 (or 2987558 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 105606110050 its reverse (50011606501), we get a palindrome (155617716551).

The spelling of 105606110050 in words is "one hundred five billion, six hundred six million, one hundred ten thousand, fifty".