100153 has 2 divisors, whose sum is σ = 100154. Its totient is φ = 100152.

The previous prime is 100151. The next prime is 100169. The reversal of 100153 is 351001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 97344 + 2809 = 312^2 + 53^2 .

It is a cyclic number.

It is not a de Polignac number, because 100153 - 2¹ = 100151 is a prime.

Together with 100151, it forms a pair of twin primes.

100153 is a lucky number.

It is not a weakly prime, because it can be changed into another prime (100151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50076 + 50077.

It is an arithmetic number, because the mean of its divisors is an integer number (50077).

2¹⁰⁰¹⁵³ is an apocalyptic number.

It is an amenable number.

100153 is a deficient number, since it is larger than the sum of its proper divisors (1).

100153 is an equidigital number, since it uses as much as digits as its factorization.

100153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15, while the sum is 10.

The square root of 100153 is about 316.4695877964. The cubic root of 100153 is about 46.4395483767.

Adding to 100153 its reverse (351001), we get a palindrome (451154).

It can be divided in two parts, 100 and 153, that added together give a triangular number (253 = T₂₂).

The spelling of 100153 in words is "one hundred thousand, one hundred fifty-three".