105223104 has 112 divisors (see below), whose sum is σ = 353568000. Its totient is φ = 30060288.

The previous prime is 105223103. The next prime is 105223117. The reversal of 105223104 is 401322501.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×105223104² = 22143803230789632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105223103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7747 + ... + 16445.

Almost surely, 2^105223104 is an apocalyptic number.

105223104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176784000).

105223104 is an abundant number, since it is smaller than the sum of its proper divisors (248344896).

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

105223104 is an equidigital number, since it uses as much as digits as its factorization.

105223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8727 (or 8711 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105223104 is about 10257.8313497542. The cubic root of 105223104 is about 472.1033001904.

Adding to 105223104 its reverse (401322501), we get a palindrome (506545605).

The spelling of 105223104 in words is "one hundred five million, two hundred twenty-three thousand, one hundred four".