100013524 has 18 divisors (see below), whose sum is σ = 189523950. Its totient is φ = 46159776.

The previous prime is 100013519. The next prime is 100013527. The reversal of 100013524 is 425310001.

It can be written as a sum of positive squares in 3 ways, for example, as 7507600 + 92505924 = 2740^2 + 9618^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100013498 and 100013507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100013527) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73299 + ... + 74650.

Almost surely, 2^100013524 is an apocalyptic number.

It is an amenable number.

100013524 is a deficient number, since it is larger than the sum of its proper divisors (89510426).

100013524 is a wasteful number, since it uses less digits than its factorization.

100013524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147979 (or 147964 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 100013524 is about 10000.6761771392. The cubic root of 100013524 is about 464.1798067005.

Adding to 100013524 its reverse (425310001), we get a palindrome (525323525).

The spelling of 100013524 in words is "one hundred million, thirteen thousand, five hundred twenty-four".