106530210 has 48 divisors (see below), whose sum is σ = 278459064. Its totient is φ = 28256256.

The previous prime is 106530199. The next prime is 106530257. The reversal of 106530210 is 12035601.

106530210 is a `hidden beast` number, since 1 + 0 + 653 + 0 + 2 + 10 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 97476129 + 9054081 = 9873^2 + 3009^2 .

It is a super-2 number, since 2×106530210² = 22697371285288200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14304 + ... + 20436.

Almost surely, 2^106530210 is an apocalyptic number.

106530210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106530210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139229532).

106530210 is an abundant number, since it is smaller than the sum of its proper divisors (171928854).

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

106530210 is a wasteful number, since it uses less digits than its factorization.

106530210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6339 (or 6336 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 106530210 is about 10321.3472957749. The cubic root of 106530210 is about 474.0501202142.

Adding to 106530210 its reverse (12035601), we get a palindrome (118565811).

The spelling of 106530210 in words is "one hundred six million, five hundred thirty thousand, two hundred ten".