105051000000050 has 48 divisors (see below), whose sum is σ = 211021339785480. Its totient is φ = 38678180259840.

The previous prime is 105050999999951. The next prime is 105051000000059. The reversal of 105051000000050 is 50000000150501.

It can be written as a sum of positive squares in 12 ways, for example, as 8907425289961 + 96143574710089 = 2984531^2 + 9805283^2 .

It is a super-3 number, since 3×105051000000050³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105050999999965 and 105051000000028.

It is not an unprimeable number, because it can be changed into a prime (105051000000059) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228689705 + ... + 229148604.

Almost surely, 2^{105051000000050} is an apocalyptic number.

105051000000050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105051000000050 is an abundant number, since it is smaller than the sum of its proper divisors (105970339785430).

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

105051000000050 is a wasteful number, since it uses less digits than its factorization.

105051000000050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457838687 (or 457838682 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 17.

Adding to 105051000000050 its reverse (50000000150501), we get a palindrome (155051000150551).

The spelling of 105051000000050 in words is "one hundred five trillion, fifty-one billion, fifty", and thus it is an aban number.