106605640 has 64 divisors (see below), whose sum is σ = 255519360. Its totient is φ = 39889920.

The previous prime is 106605607. The next prime is 106605641. The reversal of 106605640 is 46506601.

It is a super-3 number, since 3×106605640³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106605599 and 106605608.

It is not an unprimeable number, because it can be changed into a prime (106605641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143109 + ... + 143851.

It is an arithmetic number, because the mean of its divisors is an integer number (3992490).

Almost surely, 2^106605640 is an apocalyptic number.

106605640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106605640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127759680).

106605640 is an abundant number, since it is smaller than the sum of its proper divisors (148913720).

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

106605640 is a wasteful number, since it uses less digits than its factorization.

106605640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 106605640 is about 10325.0007263922. Note that the first 3 decimals coincide. The cubic root of 106605640 is about 474.1619794523.

The spelling of 106605640 in words is "one hundred six million, six hundred five thousand, six hundred forty".