105311424 has 112 divisors (see below), whose sum is σ = 289681920. Its totient is φ = 33745920.

The previous prime is 105311417. The next prime is 105311431. The reversal of 105311424 is 424113501.

It is an interprime number because it is at equal distance from previous prime (105311417) and next prime (105311431).

It is a super-2 number, since 2×105311424² = 22180992049815552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105311424.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 803839 + ... + 803969.

Almost surely, 2^105311424 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 105311424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144840960).

105311424 is an abundant number, since it is smaller than the sum of its proper divisors (184370496).

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

105311424 is a wasteful number, since it uses less digits than its factorization.

105311424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 105311424 is about 10262.1354502852. The cubic root of 105311424 is about 472.2353513633.

Adding to 105311424 its reverse (424113501), we get a palindrome (529424925).

The spelling of 105311424 in words is "one hundred five million, three hundred eleven thousand, four hundred twenty-four".