100257 has 8 divisors (see below), whose sum is σ = 139584. Its totient is φ = 63888.

The previous prime is 100237. The next prime is 100267. The reversal of 100257 is 752001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100257 - 2⁶ = 100193 is a prime.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100257.

It is not an unprimeable number, because it can be changed into a prime (100207) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 658 + ... + 795.

It is an arithmetic number, because the mean of its divisors is an integer number (17448).

2¹⁰⁰²⁵⁷ is an apocalyptic number.

It is an amenable number.

100257 is a deficient number, since it is larger than the sum of its proper divisors (39327).

100257 is a wasteful number, since it uses less digits than its factorization.

100257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1479.

The product of its (nonzero) digits is 70, while the sum is 15.

The square root of 100257 is about 316.6338579495. The cubic root of 100257 is about 46.4556172654.

Adding to 100257 its reverse (752001), we get a palindrome (852258).

The spelling of 100257 in words is "one hundred thousand, two hundred fifty-seven".