106920208 has 40 divisors (see below), whose sum is σ = 222655392. Its totient is φ = 49555968.

The previous prime is 106920199. The next prime is 106920211. The reversal of 106920208 is 802029601.

It is a happy number.

It is a super-2 number, since 2×106920208² = 22863861757526528, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15291 + ... + 21157.

Almost surely, 2^106920208 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 106920208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111327696).

106920208 is an abundant number, since it is smaller than the sum of its proper divisors (115735184).

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

106920208 is a wasteful number, since it uses less digits than its factorization.

106920208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5959 (or 5953 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 106920208 is about 10340.2228215837. Note that the first 3 decimals coincide. The cubic root of 106920208 is about 474.6279013847.

Adding to 106920208 its reverse (802029601), we get a palindrome (908949809).

The spelling of 106920208 in words is "one hundred six million, nine hundred twenty thousand, two hundred eight".