105043419 has 48 divisors (see below), whose sum is σ = 177088800. Its totient is φ = 61166016.

The previous prime is 105043397. The next prime is 105043429. The reversal of 105043419 is 914340501.

It is not a de Polignac number, because 105043419 - 2⁵ = 105043387 is a prime.

It is a super-2 number, since 2×105043419² = 22068239750419122, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105043392 and 105043401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105043429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126297 + ... + 127125.

It is an arithmetic number, because the mean of its divisors is an integer number (3689350).

Almost surely, 2^105043419 is an apocalyptic number.

105043419 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

105043419 is a deficient number, since it is larger than the sum of its proper divisors (72045381).

105043419 is a wasteful number, since it uses less digits than its factorization.

105043419 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 105043419 is about 10249.0691772473. The cubic root of 105043419 is about 471.8344168656.

The spelling of 105043419 in words is "one hundred five million, forty-three thousand, four hundred nineteen".