105005419 has 8 divisors (see below), whose sum is σ = 115338240. Its totient is φ = 95153256.

The previous prime is 105005393. The next prime is 105005429. The reversal of 105005419 is 914500501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105005419 - 2¹⁷ = 104874347 is a prime.

It is a super-2 number, since 2×105005419² = 22052276038731122, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105005393 and 105005402.

It is not an unprimeable number, because it can be changed into a prime (105005429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119707 + ... + 120580.

It is an arithmetic number, because the mean of its divisors is an integer number (14417280).

Almost surely, 2^105005419 is an apocalyptic number.

105005419 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

105005419 is a deficient number, since it is larger than the sum of its proper divisors (10332821).

105005419 is a wasteful number, since it uses less digits than its factorization.

105005419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240329.

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 105005419 is about 10247.2151826728. The cubic root of 105005419 is about 471.7775138234. Note that the first 3 decimals are identical.

The spelling of 105005419 in words is "one hundred five million, five thousand, four hundred nineteen".