106559200 has 72 divisors (see below), whose sum is σ = 283809960. Its totient is φ = 38745600.

The previous prime is 106559171. The next prime is 106559227. The reversal of 106559200 is 2955601.

It is a super-2 number, since 2×106559200² = 22709726209280000, 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 11 ways as a sum of consecutive naturals, for example, 2746 + ... + 14854.

It is an arithmetic number, because the mean of its divisors is an integer number (3941805).

Almost surely, 2^106559200 is an apocalyptic number.

106559200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106559200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141904980).

106559200 is an abundant number, since it is smaller than the sum of its proper divisors (177250760).

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

106559200 is a wasteful number, since it uses less digits than its factorization.

106559200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12140 (or 12127 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 28.

The square root of 106559200 is about 10322.7515711655. The cubic root of 106559200 is about 474.0931173026.

The spelling of 106559200 in words is "one hundred six million, five hundred fifty-nine thousand, two hundred".