105212225133 has 16 divisors (see below), whose sum is σ = 162646919040. Its totient is φ = 67091853312.

The previous prime is 105212225081. The next prime is 105212225147. The reversal of 105212225133 is 331522212501.

105212225133 is a `hidden beast` number, since 1 + 0 + 521 + 2 + 2 + 2 + 5 + 133 = 666.

It is not a de Polignac number, because 105212225133 - 2²⁸ = 104943789677 is a prime.

It is a super-2 number, since 2×105212225133² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 105212225097 and 105212225106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105212225333) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84711316 + ... + 84712557.

It is an arithmetic number, because the mean of its divisors is an integer number (10165432440).

Almost surely, 2^105212225133 is an apocalyptic number.

It is an amenable number.

105212225133 is a deficient number, since it is larger than the sum of its proper divisors (57434693907).

105212225133 is a wasteful number, since it uses less digits than its factorization.

105212225133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169423905 (or 169423899 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 105212225133 its reverse (331522212501), we get a palindrome (436734437634).

The spelling of 105212225133 in words is "one hundred five billion, two hundred twelve million, two hundred twenty-five thousand, one hundred thirty-three".