102005211 has 48 divisors (see below), whose sum is σ = 174009600. Its totient is φ = 52557120.

The previous prime is 102005191. The next prime is 102005261. The reversal of 102005211 is 112500201.

It is not a de Polignac number, because 102005211 - 2⁹ = 102004699 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102005261) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321625 + ... + 321941.

It is an arithmetic number, because the mean of its divisors is an integer number (3625200).

Almost surely, 2^102005211 is an apocalyptic number.

102005211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102005211 is a deficient number, since it is larger than the sum of its proper divisors (72004389).

102005211 is a wasteful number, since it uses less digits than its factorization.

102005211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 102005211 is about 10099.7629180095. The cubic root of 102005211 is about 467.2408294010.

Adding to 102005211 its reverse (112500201), we get a palindrome (214505412).

The spelling of 102005211 in words is "one hundred two million, five thousand, two hundred eleven".