103753 has 8 divisors (see below), whose sum is σ = 116928. Its totient is φ = 91344.

The previous prime is 103723. The next prime is 103769. The reversal of 103753 is 357301.

It is the 132-nd star number.

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

It is a cyclic number.

It is not a de Polignac number, because 103753 - 2¹³ = 95561 is a prime.

It is a Duffinian number.

103753 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 103753.

It is not an unprimeable number, because it can be changed into a prime (103703) 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, 126 + ... + 472.

It is an arithmetic number, because the mean of its divisors is an integer number (14616).

2¹⁰³⁷⁵³ is an apocalyptic number.

103753 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

103753 is a deficient number, since it is larger than the sum of its proper divisors (13175).

103753 is a wasteful number, since it uses less digits than its factorization.

103753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383.

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 103753 is about 322.1071250376. The cubic root of 103753 is about 46.9894347762.

It can be divided in two parts, 10375 and 3, that multiplied together give a triangular number (31125 = T₂₄₉).

The spelling of 103753 in words is "one hundred three thousand, seven hundred fifty-three".