105001105560050 has 24 divisors (see below), whose sum is σ = 223202350105536. Its totient is φ = 36000379049040.

The previous prime is 105001105560037. The next prime is 105001105560053. The reversal of 105001105560050 is 50065501100501.

It is a happy number.

It is a super-2 number, since 2×105001105560050² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105001105559995 and 105001105560022.

It is not an unprimeable number, because it can be changed into a prime (105001105560053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150001579022 + ... + 150001579721.

It is an arithmetic number, because the mean of its divisors is an integer number (9300097921064).

Almost surely, 2^{105001105560050} is an apocalyptic number.

105001105560050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105001105560050 is an abundant number, since it is smaller than the sum of its proper divisors (118201244545486).

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

105001105560050 is a wasteful number, since it uses less digits than its factorization.

105001105560050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300003158762 (or 300003158757 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 29.

Adding to 105001105560050 its reverse (50065501100501), we get a palindrome (155066606660551).

The spelling of 105001105560050 in words is "one hundred five trillion, one billion, one hundred five million, five hundred sixty thousand, fifty".