105505119 has 16 divisors (see below), whose sum is σ = 164531200. Its totient is φ = 66634488.

The previous prime is 105505087. The next prime is 105505129. The reversal of 105505119 is 911505501.

It is not a de Polignac number, because 105505119 - 2⁵ = 105505087 is a prime.

It is a super-2 number, since 2×105505119² = 22262660270408322, which contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105505092 and 105505101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105505129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102319 + ... + 103344.

It is an arithmetic number, because the mean of its divisors is an integer number (10283200).

Almost surely, 2^105505119 is an apocalyptic number.

105505119 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

105505119 is a deficient number, since it is larger than the sum of its proper divisors (59026081).

105505119 is a wasteful number, since it uses less digits than its factorization.

105505119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205691 (or 205685 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 27.

The square root of 105505119 is about 10271.5684780855. The cubic root of 105505119 is about 472.5246951064.

The spelling of 105505119 in words is "one hundred five million, five hundred five thousand, one hundred nineteen".