106920216 has 192 divisors, whose sum is σ = 335988000. Its totient is φ = 31449600.

The previous prime is 106920211. The next prime is 106920217. The reversal of 106920216 is 612029601.

It is a super-2 number, since 2×106920216² = 22863865178973312, which contains 22 as substring.

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 106920216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106920211) 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, 1058566 + ... + 1058666.

Almost surely, 2^106920216 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 106920216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167994000).

106920216 is an abundant number, since it is smaller than the sum of its proper divisors (229067784).

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

106920216 is a wasteful number, since it uses less digits than its factorization.

106920216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106920216 is about 10340.2232084225. The cubic root of 106920216 is about 474.6279132222.

Adding to 106920216 its reverse (612029601), we get a palindrome (718949817).

The spelling of 106920216 in words is "one hundred six million, nine hundred twenty thousand, two hundred sixteen".