100053 has 6 divisors (see below), whose sum is σ = 144534. Its totient is φ = 66696.

The previous prime is 100049. The next prime is 100057. The reversal of 100053 is 350001.

It is an interprime number because it is at equal distance from previous prime (100049) and next prime (100057).

It can be written as a sum of positive squares in only one way, i.e., 66564 + 33489 = 258^2 + 183^2 .

It is not a de Polignac number, because 100053 - 2² = 100049 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11117 = 100053 / (1 + 0 + 0 + 0 + 5 + 3).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 100053.

It is not an unprimeable number, because it can be changed into a prime (100057) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5550 + ... + 5567.

It is an arithmetic number, because the mean of its divisors is an integer number (24089).

2¹⁰⁰⁰⁵³ is an apocalyptic number.

It is an amenable number.

100053 is a deficient number, since it is larger than the sum of its proper divisors (44481).

100053 is a wasteful number, since it uses less digits than its factorization.

100053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11123 (or 11120 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 100053 is about 316.3115552742. The cubic root of 100053 is about 46.4240870281.

Adding to 100053 its reverse (350001), we get a palindrome (450054).

The spelling of 100053 in words is "one hundred thousand, fifty-three".