106608546 has 48 divisors (see below), whose sum is σ = 256763520. Its totient is φ = 31692960.

The previous prime is 106608539. The next prime is 106608577. The reversal of 106608546 is 645806601.

106608546 is a `hidden beast` number, since 1 + 0 + 6 + 608 + 5 + 46 = 666.

It is a super-3 number, since 3×106608546³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106608546.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5415 + ... + 15573.

It is an arithmetic number, because the mean of its divisors is an integer number (5349240).

Almost surely, 2^106608546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106608546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128381760).

106608546 is an abundant number, since it is smaller than the sum of its proper divisors (150154974).

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

106608546 is a wasteful number, since it uses less digits than its factorization.

106608546 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10231 (or 10228 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 106608546 is about 10325.1414518156. The cubic root of 106608546 is about 474.1662878616.

The spelling of 106608546 in words is "one hundred six million, six hundred eight thousand, five hundred forty-six".