106566208 has 56 divisors (see below), whose sum is σ = 243709952. Its totient is φ = 45287424.

The previous prime is 106566121. The next prime is 106566221. The reversal of 106566208 is 802665601.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×106566208² = 22712713374998528, which contains 22 as substring.

It is a congruent number.

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, 55960 + ... + 57832.

Almost surely, 2^106566208 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 106566208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121854976).

106566208 is an abundant number, since it is smaller than the sum of its proper divisors (137143744).

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

106566208 is a wasteful number, since it uses less digits than its factorization.

106566208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2019 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 106566208 is about 10323.0910099640. The cubic root of 106566208 is about 474.1035101851.

The spelling of 106566208 in words is "one hundred six million, five hundred sixty-six thousand, two hundred eight".