100753 has 4 divisors (see below), whose sum is σ = 102708. Its totient is φ = 98800.

The previous prime is 100747. The next prime is 100769. The reversal of 100753 is 357001.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 357001 = 79 ⋅4519.

It can be written as a sum of positive squares in 2 ways, for example, as 37249 + 63504 = 193^2 + 252^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100753 is a prime.

It is a super-3 number, since 3×100753³ = 3068281588973331, which contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100703) 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, 898 + ... + 1003.

It is an arithmetic number, because the mean of its divisors is an integer number (25677).

2¹⁰⁰⁷⁵³ is an apocalyptic number.

It is an amenable number.

100753 is a deficient number, since it is larger than the sum of its proper divisors (1955).

100753 is an equidigital number, since it uses as much as digits as its factorization.

100753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 100753 is about 317.4161306550. The cubic root of 100753 is about 46.5321010083.

Adding to 100753 its reverse (357001), we get a palindrome (457754).

The spelling of 100753 in words is "one hundred thousand, seven hundred fifty-three".