106188216 has 48 divisors (see below), whose sum is σ = 268561800. Its totient is φ = 34987968.

The previous prime is 106188211. The next prime is 106188221. The reversal of 106188216 is 612881601.

106188216 = T₄₃₉ + T₄₄₀ + ... + T₈₉₆.

It is an interprime number because it is at equal distance from previous prime (106188211) and next prime (106188221).

It is a super-2 number, since 2×106188216² = 22551874434525312, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106188211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 463590 + ... + 463818.

Almost surely, 2^106188216 is an apocalyptic number.

It is an amenable number.

106188216 is an abundant number, since it is smaller than the sum of its proper divisors (162373584).

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

106188216 is a wasteful number, since it uses less digits than its factorization.

106188216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The square root of 106188216 is about 10304.7666640250. The cubic root of 106188216 is about 473.5422952696.

The spelling of 106188216 in words is "one hundred six million, one hundred eighty-eight thousand, two hundred sixteen".