102553 has 4 divisors (see below), whose sum is σ = 111888. Its totient is φ = 93220.

The previous prime is 102551. The next prime is 102559. The reversal of 102553 is 355201.

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 a cyclic number.

It is not a de Polignac number, because 102553 - 2¹ = 102551 is a prime.

It is a Duffinian number.

102553 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (102551) 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, 4651 + ... + 4672.

It is an arithmetic number, because the mean of its divisors is an integer number (27972).

2¹⁰²⁵⁵³ is an apocalyptic number.

It is an amenable number.

102553 is a deficient number, since it is larger than the sum of its proper divisors (9335).

102553 is an equidigital number, since it uses as much as digits as its factorization.

102553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9334.

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 102553 is about 320.2389732684. The cubic root of 102553 is about 46.8075729825.

Adding to 102553 its reverse (355201), we get a palindrome (457754).

The spelling of 102553 in words is "one hundred two thousand, five hundred fifty-three".