106330000 has 200 divisors, whose sum is σ = 309900800. Its totient is φ = 35280000.

The previous prime is 106329997. The next prime is 106330001. The reversal of 106330000 is 33601.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×106330000² = 22612137800000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106330001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3429985 + ... + 3430015.

It is an arithmetic number, because the mean of its divisors is an integer number (1549504).

Almost surely, 2^106330000 is an apocalyptic number.

106330000 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 106330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154950400).

106330000 is an abundant number, since it is smaller than the sum of its proper divisors (203570800).

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

106330000 is an frugal number, since it uses more digits than its factorization.

106330000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 106330000 is about 10311.6439038594. The cubic root of 106330000 is about 473.7529616475.

Adding to 106330000 its reverse (33601), we get a palindrome (106363601).

The spelling of 106330000 in words is "one hundred six million, three hundred thirty thousand".