106116216 has 32 divisors (see below), whose sum is σ = 279254400. Its totient is φ = 33510240.

The previous prime is 106116203. The next prime is 106116221. The reversal of 106116216 is 612611601.

It is a super-2 number, since 2×106116216² = 22521302596317312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 115900 + ... + 116811.

It is an arithmetic number, because the mean of its divisors is an integer number (8726700).

Almost surely, 2^106116216 is an apocalyptic number.

It is an amenable number.

106116216 is an abundant number, since it is smaller than the sum of its proper divisors (173138184).

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

106116216 is a wasteful number, since it uses less digits than its factorization.

106116216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232739 (or 232735 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 106116216 is about 10301.2725427493. The cubic root of 106116216 is about 473.4352439871.

Adding to 106116216 its reverse (612611601), we get a palindrome (718727817).

The spelling of 106116216 in words is "one hundred six million, one hundred sixteen thousand, two hundred sixteen".