105006000050 has 24 divisors (see below), whose sum is σ = 223212755136. Its totient is φ = 36002057040.

The previous prime is 105006000041. The next prime is 105006000079. The reversal of 105006000050 is 50000600501.

It is a super-2 number, since 2×105006000050² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105005999992 and 105006000028.

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 11 ways as a sum of consecutive naturals, for example, 150008222 + ... + 150008921.

It is an arithmetic number, because the mean of its divisors is an integer number (9300531464).

Almost surely, 2^105006000050 is an apocalyptic number.

105006000050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105006000050 is an abundant number, since it is smaller than the sum of its proper divisors (118206755086).

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

105006000050 is a wasteful number, since it uses less digits than its factorization.

105006000050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300017162 (or 300017157 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

Adding to 105006000050 its reverse (50000600501), we get a palindrome (155006600551).

The spelling of 105006000050 in words is "one hundred five billion, six million, fifty", and thus it is an aban number.