105873984 has 42 divisors (see below), whose sum is σ = 303470310. Its totient is φ = 35291136.

The previous prime is 105873967. The next prime is 105874031. The reversal of 105873984 is 489378501.

It can be written as a sum of positive squares in only one way, i.e., 105513984 + 360000 = 10272^2 + 600^2 .

It is a super-2 number, since 2×105873984² = 22418600976064512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91329 + ... + 92480.

Almost surely, 2^105873984 is an apocalyptic number.

It is an amenable number.

105873984 is an abundant number, since it is smaller than the sum of its proper divisors (197596326).

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

105873984 is a wasteful number, since it uses less digits than its factorization.

105873984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183827 (or 183814 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 105873984 is about 10289.5084430696. The cubic root of 105873984 is about 473.0747318924.

The spelling of 105873984 in words is "one hundred five million, eight hundred seventy-three thousand, nine hundred eighty-four".