105893964 has 72 divisors (see below), whose sum is σ = 302112720. Its totient is φ = 30979200.

The previous prime is 105893959. The next prime is 105893971. The reversal of 105893964 is 469398501.

It is a happy number.

105893964 is a `hidden beast` number, since 1 + 0 + 589 + 3 + 9 + 64 = 666.

It is a super-2 number, since 2×105893964² = 22427063223266592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6874 + ... + 16094.

It is an arithmetic number, because the mean of its divisors is an integer number (4196010).

Almost surely, 2^105893964 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 105893964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151056360).

105893964 is an abundant number, since it is smaller than the sum of its proper divisors (196218756).

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

105893964 is a wasteful number, since it uses less digits than its factorization.

105893964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9271 (or 9266 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 105893964 is about 10290.4792891293. The cubic root of 105893964 is about 473.1044887734.

The spelling of 105893964 in words is "one hundred five million, eight hundred ninety-three thousand, nine hundred sixty-four".