105550011 has 24 divisors (see below), whose sum is σ = 178954464. Its totient is φ = 58682880.

The previous prime is 105549989. The next prime is 105550037. The reversal of 105550011 is 110055501.

105550011 is a `hidden beast` number, since 105 + 550 + 0 + 11 = 666.

It is not a de Polignac number, because 105550011 - 2¹⁰ = 105548987 is a prime.

It is a super-2 number, since 2×105550011² = 22281609644200242, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105550051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20310 + ... + 24971.

It is an arithmetic number, because the mean of its divisors is an integer number (7456436).

Almost surely, 2^105550011 is an apocalyptic number.

105550011 is a deficient number, since it is larger than the sum of its proper divisors (73404453).

105550011 is a wasteful number, since it uses less digits than its factorization.

105550011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45331 (or 45328 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The square root of 105550011 is about 10273.7535010336. The cubic root of 105550011 is about 472.5917047166.

The spelling of 105550011 in words is "one hundred five million, five hundred fifty thousand, eleven".