211008105 has 128 divisors (see below), whose sum is σ = 477757440. Its totient is φ = 85812480.

The previous prime is 211008101. The next prime is 211008107. The reversal of 211008105 is 501800112.

It is not a de Polignac number, because 211008105 - 2² = 211008101 is a prime.

It is not an unprimeable number, because it can be changed into a prime (211008101) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 550744 + ... + 551126.

It is an arithmetic number, because the mean of its divisors is an integer number (3732480).

Almost surely, 2^211008105 is an apocalyptic number.

It is an amenable number.

211008105 is an abundant number, since it is smaller than the sum of its proper divisors (266749335).

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

211008105 is a wasteful number, since it uses less digits than its factorization.

211008105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 211008105 is about 14526.1180292603. The cubic root of 211008105 is about 595.3418039391.

Adding to 211008105 its reverse (501800112), we get a palindrome (712808217).

The spelling of 211008105 in words is "two hundred eleven million, eight thousand, one hundred five".