105243524 has 6 divisors (see below), whose sum is σ = 184176174. Its totient is φ = 52621760.

The previous prime is 105243517. The next prime is 105243529. The reversal of 105243524 is 425342501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 102414400 + 2829124 = 10120^2 + 1682^2 .

It is a super-3 number, since 3×105243524³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 105243493 and 105243502.

It is not an unprimeable number, because it can be changed into a prime (105243529) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13155437 + ... + 13155444.

It is an arithmetic number, because the mean of its divisors is an integer number (30696029).

Almost surely, 2^105243524 is an apocalyptic number.

It is an amenable number.

105243524 is a deficient number, since it is larger than the sum of its proper divisors (78932650).

105243524 is a wasteful number, since it uses less digits than its factorization.

105243524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26310885 (or 26310883 counting only the distinct ones).

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

The square root of 105243524 is about 10258.8266385586. The cubic root of 105243524 is about 472.1338376088.

The spelling of 105243524 in words is "one hundred five million, two hundred forty-three thousand, five hundred twenty-four".