105189417 has 24 divisors (see below), whose sum is σ = 157783808. Its totient is φ = 67456800.

The previous prime is 105189347. The next prime is 105189451. The reversal of 105189417 is 714981501.

It is not a de Polignac number, because 105189417 - 2⁷ = 105189289 is a prime.

It is a super-2 number, since 2×105189417² = 22129626897599778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105189457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49458 + ... + 51540.

Almost surely, 2^105189417 is an apocalyptic number.

It is an amenable number.

105189417 is a deficient number, since it is larger than the sum of its proper divisors (52594391).

105189417 is a wasteful number, since it uses less digits than its factorization.

105189417 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The square root of 105189417 is about 10256.1892045730. The cubic root of 105189417 is about 472.0529137868.

The spelling of 105189417 in words is "one hundred five million, one hundred eighty-nine thousand, four hundred seventeen".