105226164 has 36 divisors (see below), whose sum is σ = 266506240. Its totient is φ = 35007120.

The previous prime is 105226157. The next prime is 105226169. The reversal of 105226164 is 461622501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105226164² = 22145091180309792, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105226169) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17997 + ... + 23115.

Almost surely, 2^105226164 is an apocalyptic number.

It is an amenable number.

105226164 is an abundant number, since it is smaller than the sum of its proper divisors (161280076).

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

105226164 is a wasteful number, since it uses less digits than its factorization.

105226164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700 (or 5695 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 105226164 is about 10257.9805030035. The cubic root of 105226164 is about 472.1078765684.

Adding to 105226164 its reverse (461622501), we get a palindrome (566848665).

The spelling of 105226164 in words is "one hundred five million, two hundred twenty-six thousand, one hundred sixty-four".