103953 has 4 divisors (see below), whose sum is σ = 138608. Its totient is φ = 69300.

The previous prime is 103951. The next prime is 103963. The reversal of 103953 is 359301.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 103953 - 2¹ = 103951 is a prime.

It is a D-number.

It is a Duffinian number.

103953 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (103951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17323 + ... + 17328.

It is an arithmetic number, because the mean of its divisors is an integer number (34652).

2¹⁰³⁹⁵³ is an apocalyptic number.

It is an amenable number.

103953 is a deficient number, since it is larger than the sum of its proper divisors (34655).

103953 is an equidigital number, since it uses as much as digits as its factorization.

103953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34654.

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 103953 is about 322.4174312906. The cubic root of 103953 is about 47.0196085376.

The spelling of 103953 in words is "one hundred three thousand, nine hundred fifty-three".