105210212005 has 8 divisors (see below), whose sum is σ = 130605780600. Its totient is φ = 81265818816.

The previous prime is 105210211927. The next prime is 105210212011. The reversal of 105210212005 is 500212012501.

It can be written as a sum of positive squares in 4 ways, for example, as 7296918084 + 97913293921 = 85422^2 + 312911^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105210212005 - 2⁷ = 105210211877 is a prime.

It is a super-2 number, since 2×105210212005² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 362793690 + ... + 362793979.

It is an arithmetic number, because the mean of its divisors is an integer number (16325722575).

Almost surely, 2^105210212005 is an apocalyptic number.

It is an amenable number.

105210212005 is a deficient number, since it is larger than the sum of its proper divisors (25395568595).

105210212005 is an equidigital number, since it uses as much as digits as its factorization.

105210212005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725587703.

The product of its (nonzero) digits is 200, while the sum is 19.

Adding to 105210212005 its reverse (500212012501), we get a palindrome (605422224506).

The spelling of 105210212005 in words is "one hundred five billion, two hundred ten million, two hundred twelve thousand, five".