105006050010 has 24 divisors (see below), whose sum is σ = 273015730260. Its totient is φ = 28001613312.

The previous prime is 105006050003. The next prime is 105006050101. The reversal of 105006050010 is 10050600501.

105006050010 is a `hidden beast` number, since 1 + 0 + 50 + 0 + 605 + 0 + 0 + 10 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 95664634209 + 9341415801 = 309297^2 + 96651^2 .

It is a super-2 number, since 2×105006050010² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 583366855 + ... + 583367034.

Almost surely, 2^105006050010 is an apocalyptic number.

105006050010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105006050010 is an abundant number, since it is smaller than the sum of its proper divisors (168009680250).

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

105006050010 is a wasteful number, since it uses less digits than its factorization.

105006050010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166733902 (or 1166733899 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 105006050010 its reverse (10050600501), we get a palindrome (115056650511).

The spelling of 105006050010 in words is "one hundred five billion, six million, fifty thousand, ten".