105055506050 has 48 divisors (see below), whose sum is σ = 225706437792. Its totient is φ = 35954822400.

The previous prime is 105055506001. The next prime is 105055506079. The reversal of 105055506050 is 50605550501.

It is a super-2 number, since 2×105055506050² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105055505998 and 105055506016.

It is an unprimeable number.

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, 5608592 + ... + 5627291.

It is an arithmetic number, because the mean of its divisors is an integer number (4702217454).

Almost surely, 2^105055506050 is an apocalyptic number.

105055506050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105055506050 is an abundant number, since it is smaller than the sum of its proper divisors (120650931742).

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

105055506050 is a wasteful number, since it uses less digits than its factorization.

105055506050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11235923 (or 11235918 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 32.

The spelling of 105055506050 in words is "one hundred five billion, fifty-five million, five hundred six thousand, fifty".