106685984 has 24 divisors (see below), whose sum is σ = 210295260. Its totient is φ = 53277696.

The previous prime is 106685963. The next prime is 106685987. The reversal of 106685984 is 489586601.

It can be written as a sum of positive squares in 2 ways, for example, as 106090000 + 595984 = 10300^2 + 772^2 .

It is a super-2 number, since 2×106685984² = 22763798364096512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106685987) 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 3 ways as a sum of consecutive naturals, for example, 34652 + ... + 37604.

Almost surely, 2^106685984 is an apocalyptic number.

It is an amenable number.

106685984 is a deficient number, since it is larger than the sum of its proper divisors (103609276).

106685984 is a wasteful number, since it uses less digits than its factorization.

106685984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4092 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 47.

The square root of 106685984 is about 10328.8907439279. The cubic root of 106685984 is about 474.2810679096.

The spelling of 106685984 in words is "one hundred six million, six hundred eighty-five thousand, nine hundred eighty-four".