102006210 has 16 divisors (see below), whose sum is σ = 244814976. Its totient is φ = 27201648.

The previous prime is 102006209. The next prime is 102006211. The reversal of 102006210 is 12600201.

It is an interprime number because it is at equal distance from previous prime (102006209) and next prime (102006211).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102006211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1700074 + ... + 1700133.

It is an arithmetic number, because the mean of its divisors is an integer number (15300936).

Almost surely, 2^102006210 is an apocalyptic number.

102006210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102006210 is an abundant number, since it is smaller than the sum of its proper divisors (142808766).

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

102006210 is a wasteful number, since it uses less digits than its factorization.

102006210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400217.

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102006210 is about 10099.8123744949. The cubic root of 102006210 is about 467.2423547220.

Adding to 102006210 its reverse (12600201), we get a palindrome (114606411).

The spelling of 102006210 in words is "one hundred two million, six thousand, two hundred ten".