105006210 has 16 divisors (see below), whose sum is σ = 252014976. Its totient is φ = 28001648.

The previous prime is 105006203. The next prime is 105006211. The reversal of 105006210 is 12600501.

It is a super-2 number, since 2×105006210² = 22052608277128200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105006210.

It is not an unprimeable number, because it can be changed into a prime (105006211) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1750074 + ... + 1750133.

It is an arithmetic number, because the mean of its divisors is an integer number (15750936).

Almost surely, 2^105006210 is an apocalyptic number.

105006210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105006210 is an abundant number, since it is smaller than the sum of its proper divisors (147008766).

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

105006210 is a wasteful number, since it uses less digits than its factorization.

105006210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500217.

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 105006210 is about 10247.2537784521. The cubic root of 105006210 is about 471.7786984450.

Adding to 105006210 its reverse (12600501), we get a palindrome (117606711).

The spelling of 105006210 in words is "one hundred five million, six thousand, two hundred ten".