105126324 has 24 divisors (see below), whose sum is σ = 251925408. Its totient is φ = 34094880.

The previous prime is 105126299. The next prime is 105126341. The reversal of 105126324 is 423621501.

It is a super-2 number, since 2×105126324² = 22103087995505952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105126294 and 105126303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117942 + ... + 118829.

It is an arithmetic number, because the mean of its divisors is an integer number (10496892).

Almost surely, 2^105126324 is an apocalyptic number.

It is an amenable number.

105126324 is an abundant number, since it is smaller than the sum of its proper divisors (146799084).

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

105126324 is a wasteful number, since it uses less digits than its factorization.

105126324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236815 (or 236813 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105126324 is about 10253.1128931657. The cubic root of 105126324 is about 471.9585152183.

Adding to 105126324 its reverse (423621501), we get a palindrome (528747825).

It can be divided in two parts, 10512 and 6324, that added together give a triangular number (16836 = T₁₈₃).

The spelling of 105126324 in words is "one hundred five million, one hundred twenty-six thousand, three hundred twenty-four".