108953 has 12 divisors (see below), whose sum is σ = 128940. Its totient is φ = 91392.

The previous prime is 108949. The next prime is 108959. The reversal of 108953 is 359801.

It can be written as a sum of positive squares in 6 ways, for example, as 1369 + 107584 = 37^2 + 328^2 .

It is not a de Polignac number, because 108953 - 2² = 108949 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 (108959) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3743 + ... + 3771.

It is an arithmetic number, because the mean of its divisors is an integer number (10745).

2¹⁰⁸⁹⁵³ is an apocalyptic number.

108953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

108953 is a deficient number, since it is larger than the sum of its proper divisors (19987).

108953 is a wasteful number, since it uses less digits than its factorization.

108953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 108953 is about 330.0802932621. The cubic root of 108953 is about 47.7616950055.

The spelling of 108953 in words is "one hundred eight thousand, nine hundred fifty-three".