105213502050 has 96 divisors (see below), whose sum is σ = 270132924672. Its totient is φ = 27083681280.

The previous prime is 105213502039. The next prime is 105213502067. The reversal of 105213502050 is 50205312501.

It is a happy number.

It is a super-2 number, since 2×105213502050² (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 105213502050.

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, 412432 + ... + 616868.

It is an arithmetic number, because the mean of its divisors is an integer number (2813884632).

Almost surely, 2^105213502050 is an apocalyptic number.

105213502050 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 105213502050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135066462336).

105213502050 is an abundant number, since it is smaller than the sum of its proper divisors (164919422622).

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

105213502050 is a wasteful number, since it uses less digits than its factorization.

105213502050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204572 (or 204567 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

Adding to 105213502050 its reverse (50205312501), we get a palindrome (155418814551).

The spelling of 105213502050 in words is "one hundred five billion, two hundred thirteen million, five hundred two thousand, fifty".