105050000050 has 48 divisors (see below), whose sum is σ = 195922663272. Its totient is φ = 41906278400.

The previous prime is 105050000021. The next prime is 105050000071. The reversal of 105050000050 is 50000050501.

It can be written as a sum of positive squares in 12 ways, for example, as 14402640121 + 90647359929 = 120011^2 + 301077^2 .

It is a super-2 number, since 2×105050000050² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105049999979 and 105050000033.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36260202 + ... + 36263098.

Almost surely, 2^105050000050 is an apocalyptic number.

105050000050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105050000050 is a deficient number, since it is larger than the sum of its proper divisors (90872663222).

105050000050 is a wasteful number, since it uses less digits than its factorization.

105050000050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623 (or 4618 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 16.

Adding to 105050000050 its reverse (50000050501), we get a palindrome (155050050551).

The spelling of 105050000050 in words is "one hundred five billion, fifty million, fifty", and thus it is an aban number.