105055050114 has 64 divisors (see below), whose sum is σ = 266838497280. Its totient is φ = 30012126480.

The previous prime is 105055050083. The next prime is 105055050187. The reversal of 105055050114 is 411050550501.

105055050114 is a `hidden beast` number, since 1 + 0 + 50 + 550 + 50 + 1 + 14 = 666.

It is a super-2 number, since 2×105055050114² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6126757 + ... + 6143879.

It is an arithmetic number, because the mean of its divisors is an integer number (4169351520).

Almost surely, 2^105055050114 is an apocalyptic number.

105055050114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105055050114 is an abundant number, since it is smaller than the sum of its proper divisors (161783447166).

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

105055050114 is a wasteful number, since it uses less digits than its factorization.

105055050114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33372 (or 33366 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

The spelling of 105055050114 in words is "one hundred five billion, fifty-five million, fifty thousand, one hundred fourteen".