100253 has 4 divisors (see below), whose sum is σ = 103740. Its totient is φ = 96768.

The previous prime is 100237. The next prime is 100267. The reversal of 100253 is 352001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 352001 = 13 ⋅27077.

It can be written as a sum of positive squares in 2 ways, for example, as 20164 + 80089 = 142^2 + 283^2 .

It is a cyclic number.

It is not a de Polignac number, because 100253 - 2⁴ = 100237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1700 + ... + 1757.

It is an arithmetic number, because the mean of its divisors is an integer number (25935).

2¹⁰⁰²⁵³ is an apocalyptic number.

It is an amenable number.

100253 is a deficient number, since it is larger than the sum of its proper divisors (3487).

100253 is an equidigital number, since it uses as much as digits as its factorization.

100253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3486.

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 100253 is about 316.6275414426. The cubic root of 100253 is about 46.4549994368.

Adding to 100253 its reverse (352001), we get a palindrome (452254).

It can be divided in two parts, 100 and 253, that added together give a palindrome (353).

The spelling of 100253 in words is "one hundred thousand, two hundred fifty-three".