106509216 has 144 divisors (see below), whose sum is σ = 324928800. Its totient is φ = 30289920.

The previous prime is 106509203. The next prime is 106509217. The reversal of 106509216 is 612905601.

It is a super-2 number, since 2×106509216² = 22688426185869312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106509217) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 305010 + ... + 305358.

It is an arithmetic number, because the mean of its divisors is an integer number (2256450).

Almost surely, 2^106509216 is an apocalyptic number.

106509216 is a gapful number since it is divisible by the number (16) 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 106509216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162464400).

106509216 is an abundant number, since it is smaller than the sum of its proper divisors (218419584).

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

106509216 is a wasteful number, since it uses less digits than its factorization.

106509216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 106509216 is about 10320.3302272747. The cubic root of 106509216 is about 474.0189776802.

The spelling of 106509216 in words is "one hundred six million, five hundred nine thousand, two hundred sixteen".