106608516 has 96 divisors (see below), whose sum is σ = 295680000. Its totient is φ = 29875104.

The previous prime is 106608461. The next prime is 106608517. The reversal of 106608516 is 615806601.

It is a super-2 number, since 2×106608516² = 22730751367444512, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106608517) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242625 + ... + 243063.

It is an arithmetic number, because the mean of its divisors is an integer number (3080000).

Almost surely, 2^106608516 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 106608516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147840000).

106608516 is an abundant number, since it is smaller than the sum of its proper divisors (189071484).

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

106608516 is a wasteful number, since it uses less digits than its factorization.

106608516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 106608516 is about 10325.1399990509. The cubic root of 106608516 is about 474.1662433842.

The spelling of 106608516 in words is "one hundred six million, six hundred eight thousand, five hundred sixteen".