105005110005050 has 24 divisors (see below), whose sum is σ = 195337331092800. Its totient is φ = 41996059812080.

The previous prime is 105005110005013. The next prime is 105005110005083. The reversal of 105005110005050 is 50500011500501.

It is a happy number.

It is a super-2 number, since 2×105005110005050² (a number of 29 digits) contains 22 as substring.

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, 149250290 + ... + 149952189.

It is an arithmetic number, because the mean of its divisors is an integer number (8139055462200).

Almost surely, 2^{105005110005050} is an apocalyptic number.

105005110005050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105005110005050 is a deficient number, since it is larger than the sum of its proper divisors (90332221087750).

105005110005050 is a wasteful number, since it uses less digits than its factorization.

105005110005050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299209510 (or 299209505 counting only the distinct ones).

The product of its (nonzero) digits is 625, while the sum is 23.

Adding to 105005110005050 its reverse (50500011500501), we get a palindrome (155505121505551).

The spelling of 105005110005050 in words is "one hundred five trillion, five billion, one hundred ten million, five thousand, fifty".