105933681 has 24 divisors (see below), whose sum is σ = 185163264. Its totient is φ = 56972160.

The previous prime is 105933673. The next prime is 105933739. The reversal of 105933681 is 186339501.

It is a happy number.

105933681 is a `hidden beast` number, since 1 + 0 + 593 + 3 + 68 + 1 = 666.

It is not a de Polignac number, because 105933681 - 2³ = 105933673 is a prime.

It is a super-2 number, since 2×105933681² = 22443889540419522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105933671) by changing a digit.

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, 48385 + ... + 50526.

It is an arithmetic number, because the mean of its divisors is an integer number (7715136).

Almost surely, 2^105933681 is an apocalyptic number.

It is an amenable number.

105933681 is a deficient number, since it is larger than the sum of its proper divisors (79229583).

105933681 is a wasteful number, since it uses less digits than its factorization.

105933681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98941 (or 98938 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 105933681 is about 10292.4089017100. The cubic root of 105933681 is about 473.1636295137.

The spelling of 105933681 in words is "one hundred five million, nine hundred thirty-three thousand, six hundred eighty-one".