105855984 has 200 divisors, whose sum is σ = 338610272. Its totient is φ = 31726080.

The previous prime is 105855941. The next prime is 105855989. The reversal of 105855984 is 489558501.

It is a happy number.

105855984 is a `hidden beast` number, since 1 + 0 + 58 + 5 + 598 + 4 = 666.

It is a super-2 number, since 2×105855984² = 22410978697216512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105855989) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1027677 + ... + 1027779.

Almost surely, 2^105855984 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 105855984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169305136).

105855984 is an abundant number, since it is smaller than the sum of its proper divisors (232754288).

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

105855984 is a wasteful number, since it uses less digits than its factorization.

105855984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The square root of 105855984 is about 10288.6337285375. The cubic root of 105855984 is about 473.0479206858.

The spelling of 105855984 in words is "one hundred five million, eight hundred fifty-five thousand, nine hundred eighty-four".