105607424 has 54 divisors (see below), whose sum is σ = 228358746. Its totient is φ = 48721920.

The previous prime is 105607423. The next prime is 105607487. The reversal of 105607424 is 424706501.

It can be written as a sum of positive squares in 3 ways, for example, as 5607424 + 100000000 = 2368^2 + 10000^2 .

It is a super-2 number, since 2×105607424² = 22305856007831552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105607423) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42044 + ... + 44484.

Almost surely, 2^105607424 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 105607424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114179373).

105607424 is an abundant number, since it is smaller than the sum of its proper divisors (122751322).

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

105607424 is an equidigital number, since it uses as much as digits as its factorization.

105607424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 105607424 is about 10276.5472800936. The cubic root of 105607424 is about 472.6773765518.

The spelling of 105607424 in words is "one hundred five million, six hundred seven thousand, four hundred twenty-four".