106218336 has 96 divisors (see below), whose sum is σ = 320398848. Its totient is φ = 30182400.

The previous prime is 106218289. The next prime is 106218377. The reversal of 106218336 is 633812601.

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

It is a super-2 number, since 2×106218336² = 22564669805217792, which contains 22 as substring.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176436 + ... + 177036.

It is an arithmetic number, because the mean of its divisors is an integer number (3337488).

Almost surely, 2^106218336 is an apocalyptic number.

106218336 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 106218336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160199424).

106218336 is an abundant number, since it is smaller than the sum of its proper divisors (214180512).

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

106218336 is a wasteful number, since it uses less digits than its factorization.

106218336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 106218336 is about 10306.2280199887. The cubic root of 106218336 is about 473.5870640337.

The spelling of 106218336 in words is "one hundred six million, two hundred eighteen thousand, three hundred thirty-six".