106334316 has 144 divisors (see below), whose sum is σ = 309836800. Its totient is φ = 31505760.

The previous prime is 106334311. The next prime is 106334339. The reversal of 106334316 is 613433601.

106334316 is a `hidden beast` number, since 10 + 6 + 334 + 316 = 666.

It is a super-2 number, since 2×106334316² = 22613973518375712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 106334316.

It is not an unprimeable number, because it can be changed into a prime (106334311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1032321 + ... + 1032423.

Almost surely, 2^106334316 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 106334316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154918400).

106334316 is an abundant number, since it is smaller than the sum of its proper divisors (203502484).

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

106334316 is a wasteful number, since it uses less digits than its factorization.

106334316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 106334316 is about 10311.8531797151. The cubic root of 106334316 is about 473.7593715353.

Adding to 106334316 its reverse (613433601), we get a palindrome (719767917).

The spelling of 106334316 in words is "one hundred six million, three hundred thirty-four thousand, three hundred sixteen".