105542324 has 24 divisors (see below), whose sum is σ = 195878088. Its totient is φ = 49587200.

The previous prime is 105542317. The next prime is 105542351. The reversal of 105542324 is 423245501.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3168400 + 102373924 = 1780^2 + 10118^2 .

It is a super-2 number, since 2×105542324² = 22278364310641952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105542293 and 105542302.

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, 80474 + ... + 81774.

It is an arithmetic number, because the mean of its divisors is an integer number (8161587).

Almost surely, 2^105542324 is an apocalyptic number.

It is an amenable number.

105542324 is a deficient number, since it is larger than the sum of its proper divisors (90335764).

105542324 is a wasteful number, since it uses less digits than its factorization.

105542324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2513 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 105542324 is about 10273.3793855771. The cubic root of 105542324 is about 472.5802317962.

Adding to 105542324 its reverse (423245501), we get a palindrome (528787825).

The spelling of 105542324 in words is "one hundred five million, five hundred forty-two thousand, three hundred twenty-four".