105189120 has 216 divisors, whose sum is σ = 380723616. Its totient is φ = 26763264.

The previous prime is 105189109. The next prime is 105189163. The reversal of 105189120 is 21981501.

It is a super-2 number, since 2×105189120² = 22129501932748800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264762 + ... + 265158.

Almost surely, 2^105189120 is an apocalyptic number.

105189120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190361808).

105189120 is an abundant number, since it is smaller than the sum of its proper divisors (275534496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105189120 is a wasteful number, since it uses less digits than its factorization.

105189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 105189120 is about 10256.1747255007. The cubic root of 105189120 is about 472.0524695094.

It can be divided in two parts, 105 and 189120, that added together give a square (189225 = 435²).

The spelling of 105189120 in words is "one hundred five million, one hundred eighty-nine thousand, one hundred twenty".