100953 has 8 divisors (see below), whose sum is σ = 149600. Its totient is φ = 67284.

The previous prime is 100943. The next prime is 100957. The reversal of 100953 is 359001.

It is not a de Polignac number, because 100953 - 2⁴ = 100937 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100957) 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, 1843 + ... + 1896.

It is an arithmetic number, because the mean of its divisors is an integer number (18700).

2¹⁰⁰⁹⁵³ is an apocalyptic number.

It is an amenable number.

100953 is a deficient number, since it is larger than the sum of its proper divisors (48647).

100953 is an equidigital number, since it uses as much as digits as its factorization.

100953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3748 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 135, while the sum is 18.

The square root of 100953 is about 317.7310183158. The cubic root of 100953 is about 46.5628702131.

Adding to 100953 its reverse (359001), we get a palindrome (459954).

The spelling of 100953 in words is "one hundred thousand, nine hundred fifty-three".