105501424 has 40 divisors (see below), whose sum is σ = 235084160. Its totient is φ = 44929728.

The previous prime is 105501421. The next prime is 105501443. The reversal of 105501424 is 424105501.

It is a super-2 number, since 2×105501424² = 22261100932055552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105501395 and 105501404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105501421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15367 + ... + 21145.

It is an arithmetic number, because the mean of its divisors is an integer number (5877104).

Almost surely, 2^105501424 is an apocalyptic number.

105501424 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 105501424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117542080).

105501424 is an abundant number, since it is smaller than the sum of its proper divisors (129582736).

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

105501424 is a wasteful number, since it uses less digits than its factorization.

105501424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5957 (or 5951 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 105501424 is about 10271.3886110886. The cubic root of 105501424 is about 472.5191787891.

Adding to 105501424 its reverse (424105501), we get a palindrome (529606925).

The spelling of 105501424 in words is "one hundred five million, five hundred one thousand, four hundred twenty-four".