105316224 has 192 divisors, whose sum is σ = 324413040. Its totient is φ = 30081024.

The previous prime is 105316223. The next prime is 105316229. The reversal of 105316224 is 422613501.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×105316224² = 22183014075236352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 105316194 and 105316203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105316223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1442652 + ... + 1442724.

Almost surely, 2^105316224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105316224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162206520).

105316224 is an abundant number, since it is smaller than the sum of its proper divisors (219096816).

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

105316224 is a wasteful number, since it uses less digits than its factorization.

105316224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105316224 is about 10262.3693170729. The cubic root of 105316224 is about 472.2425259418.

Adding to 105316224 its reverse (422613501), we get a palindrome (527929725).

The spelling of 105316224 in words is "one hundred five million, three hundred sixteen thousand, two hundred twenty-four".