106365216 has 96 divisors (see below), whose sum is σ = 291852288. Its totient is φ = 33880320.

The previous prime is 106365137. The next prime is 106365227. The reversal of 106365216 is 612563601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106365216² = 22627118349453312, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 306355 + ... + 306701.

It is an arithmetic number, because the mean of its divisors is an integer number (3040128).

Almost surely, 2^106365216 is an apocalyptic number.

106365216 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 106365216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145926144).

106365216 is an abundant number, since it is smaller than the sum of its proper divisors (185487072).

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

106365216 is a wasteful number, since it uses less digits than its factorization.

106365216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 486 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 106365216 is about 10313.3513466768. The cubic root of 106365216 is about 473.8052574649.

The spelling of 106365216 in words is "one hundred six million, three hundred sixty-five thousand, two hundred sixteen".