105894384 has 80 divisors (see below), whose sum is σ = 283648512. Its totient is φ = 34020864.

The previous prime is 105894379. The next prime is 105894389. The reversal of 105894384 is 483498501.

It is an interprime number because it is at equal distance from previous prime (105894379) and next prime (105894389).

It is a super-2 number, since 2×105894384² = 22427241125478912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105894389) 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, 164367 + ... + 165009.

Almost surely, 2^105894384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105894384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141824256).

105894384 is an abundant number, since it is smaller than the sum of its proper divisors (177754128).

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

105894384 is a wasteful number, since it uses less digits than its factorization.

105894384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 105894384 is about 10290.4996963218. The cubic root of 105894384 is about 473.1051142533.

The spelling of 105894384 in words is "one hundred five million, eight hundred ninety-four thousand, three hundred eighty-four".