106530000 has 200 divisors, whose sum is σ = 355611168. Its totient is φ = 27456000.

The previous prime is 106529977. The next prime is 106530001. The reversal of 106530000 is 35601.

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

It is a super-2 number, since 2×106530000² = 22697281800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106530001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1589967 + ... + 1590033.

Almost surely, 2^106530000 is an apocalyptic number.

106530000 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 106530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177805584).

106530000 is an abundant number, since it is smaller than the sum of its proper divisors (249081168).

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

106530000 is an equidigital number, since it uses as much as digits as its factorization.

106530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 106530000 is about 10321.3371226794. The cubic root of 106530000 is about 474.0498087201.

Adding to 106530000 its reverse (35601), we get a palindrome (106565601).

The spelling of 106530000 in words is "one hundred six million, five hundred thirty thousand".