105189119 has 16 divisors (see below), whose sum is σ = 124869120. Its totient is φ = 86698080.

The previous prime is 105189109. The next prime is 105189163. The reversal of 105189119 is 911981501.

It is not a de Polignac number, because 105189119 - 2⁴ = 105189103 is a prime.

It is a super-2 number, since 2×105189119² = 22129501511992322, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105189109) 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, 56534 + ... + 58364.

It is an arithmetic number, because the mean of its divisors is an integer number (7804320).

Almost surely, 2^105189119 is an apocalyptic number.

105189119 is a deficient number, since it is larger than the sum of its proper divisors (19680001).

105189119 is a wasteful number, since it uses less digits than its factorization.

105189119 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2150.

The product of its (nonzero) digits is 3240, while the sum is 35.

The square root of 105189119 is about 10256.1746767496. The cubic root of 105189119 is about 472.0524680135.

The spelling of 105189119 in words is "one hundred five million, one hundred eighty-nine thousand, one hundred nineteen".