105214424 has 32 divisors (see below), whose sum is σ = 225868800. Its totient is φ = 45010080.

The previous prime is 105214409. The next prime is 105214441. The reversal of 105214424 is 424412501.

It is a super-3 number, since 3×105214424³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 105214424.

It is a congruent number.

It is an unprimeable number.

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, 37337 + ... + 40055.

It is an arithmetic number, because the mean of its divisors is an integer number (7058400).

Almost surely, 2^105214424 is an apocalyptic number.

105214424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105214424 is an abundant number, since it is smaller than the sum of its proper divisors (120654376).

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

105214424 is a wasteful number, since it uses less digits than its factorization.

105214424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3423 (or 3419 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 105214424 is about 10257.4082496506. The cubic root of 105214424 is about 472.0903183478.

Adding to 105214424 its reverse (424412501), we get a palindrome (529626925).

The spelling of 105214424 in words is "one hundred five million, two hundred fourteen thousand, four hundred twenty-four".