106685184 has 72 divisors (see below), whose sum is σ = 289405872. Its totient is φ = 34877440.

The previous prime is 106685177. The next prime is 106685191. The reversal of 106685184 is 481586601.

It is an interprime number because it is at equal distance from previous prime (106685177) and next prime (106685191).

It is a super-2 number, since 2×106685184² = 22763456970227712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39394 + ... + 42014.

It is an arithmetic number, because the mean of its divisors is an integer number (4019526).

Almost surely, 2^106685184 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 106685184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144702936).

106685184 is an abundant number, since it is smaller than the sum of its proper divisors (182720688).

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

106685184 is an equidigital number, since it uses as much as digits as its factorization.

106685184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2693 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 106685184 is about 10328.8520175284. The cubic root of 106685184 is about 474.2798824187.

The spelling of 106685184 in words is "one hundred six million, six hundred eighty-five thousand, one hundred eighty-four".