105050242050 has 96 divisors (see below), whose sum is σ = 280760655168. Its totient is φ = 25840485120.

The previous prime is 105050242013. The next prime is 105050242081. The reversal of 105050242050 is 50242050501.

It is a happy number.

It is a super-2 number, since 2×105050242050² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105050242050.

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 47 ways as a sum of consecutive naturals, for example, 2893309 + ... + 2929391.

It is an arithmetic number, because the mean of its divisors is an integer number (2924590158).

Almost surely, 2^105050242050 is an apocalyptic number.

105050242050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105050242050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140380327584).

105050242050 is an abundant number, since it is smaller than the sum of its proper divisors (175710413118).

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

105050242050 is a wasteful number, since it uses less digits than its factorization.

105050242050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37604 (or 37599 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

Adding to 105050242050 its reverse (50242050501), we get a palindrome (155292292551).

The spelling of 105050242050 in words is "one hundred five billion, fifty million, two hundred forty-two thousand, fifty".