105122424 has 128 divisors (see below), whose sum is σ = 309484800. Its totient is φ = 29399040.

The previous prime is 105122417. The next prime is 105122453. The reversal of 105122424 is 424221501.

It is a super-2 number, since 2×105122424² = 22101448055271552, 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 105122424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264594 + ... + 264990.

It is an arithmetic number, because the mean of its divisors is an integer number (2417850).

Almost surely, 2^105122424 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 105122424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154742400).

105122424 is an abundant number, since it is smaller than the sum of its proper divisors (204362376).

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

105122424 is a wasteful number, since it uses less digits than its factorization.

105122424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 105122424 is about 10252.9227052582. The cubic root of 105122424 is about 471.9526788717.

Adding to 105122424 its reverse (424221501), we get a palindrome (529343925).

The spelling of 105122424 in words is "one hundred five million, one hundred twenty-two thousand, four hundred twenty-four".