105355076110330 has 64 divisors (see below), whose sum is σ = 192444334486272. Its totient is φ = 41523679065600.

The previous prime is 105355076110327. The next prime is 105355076110351. The reversal of 105355076110330 is 33011670553501.

It is a happy number.

It is a super-2 number, since 2×105355076110330² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255692337 + ... + 256104043.

It is an arithmetic number, because the mean of its divisors is an integer number (3006942726348).

Almost surely, 2^{105355076110330} is an apocalyptic number.

105355076110330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105355076110330 is a deficient number, since it is larger than the sum of its proper divisors (87089258375942).

105355076110330 is a wasteful number, since it uses less digits than its factorization.

105355076110330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413239.

The product of its (nonzero) digits is 141750, while the sum is 40.

The spelling of 105355076110330 in words is "one hundred five trillion, three hundred fifty-five billion, seventy-six million, one hundred ten thousand, three hundred thirty".