100724 has 18 divisors (see below), whose sum is σ = 192150. Its totient is φ = 46176.

The previous prime is 100703. The next prime is 100733. The reversal of 100724 is 427001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 4624 + 96100 = 68^2 + 310^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100699 and 100708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 602 + ... + 750.

It is an arithmetic number, because the mean of its divisors is an integer number (10675).

2¹⁰⁰⁷²⁴ is an apocalyptic number.

It is an amenable number.

100724 is a deficient number, since it is larger than the sum of its proper divisors (91426).

100724 is a wasteful number, since it uses less digits than its factorization.

100724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 100724 is about 317.3704460091. The cubic root of 100724 is about 46.5276360944.

Adding to 100724 its reverse (427001), we get a palindrome (527725).

The spelling of 100724 in words is "one hundred thousand, seven hundred twenty-four", and thus it is an iban number.