100557 has 6 divisors (see below), whose sum is σ = 145262. Its totient is φ = 67032.

The previous prime is 100549. The next prime is 100559. The reversal of 100557 is 755001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 84681 + 15876 = 291^2 + 126^2 .

It is not a de Polignac number, because 100557 - 2³ = 100549 is a prime.

It is a super-2 number, since 2×100557² = 20223420498, which contains 22 as substring.

It is a Duffinian number.

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100559) 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, 5578 + ... + 5595.

2¹⁰⁰⁵⁵⁷ is an apocalyptic number.

It is an amenable number.

100557 is a deficient number, since it is larger than the sum of its proper divisors (44705).

100557 is a wasteful number, since it uses less digits than its factorization.

100557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11179 (or 11176 counting only the distinct ones).

The product of its (nonzero) digits is 175, while the sum is 18.

The square root of 100557 is about 317.1072373819. The cubic root of 100557 is about 46.5019076567.

Adding to 100557 its reverse (755001), we get a palindrome (855558).

The spelling of 100557 in words is "one hundred thousand, five hundred fifty-seven".