105553 has 8 divisors (see below), whose sum is σ = 127872. Its totient is φ = 85056.

The previous prime is 105541. The next prime is 105557. The reversal of 105553 is 355501.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105553 is a prime.

It is a super-2 number, since 2×105553² = 22282871618, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105553.

It is not an unprimeable number, because it can be changed into a prime (105557) 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, 325 + ... + 562.

It is an arithmetic number, because the mean of its divisors is an integer number (15984).

2¹⁰⁵⁵⁵³ is an apocalyptic number.

It is an amenable number.

105553 is a deficient number, since it is larger than the sum of its proper divisors (22319).

105553 is an equidigital number, since it uses as much as digits as its factorization.

105553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911.

The product of its (nonzero) digits is 375, while the sum is 19.

The square root of 105553 is about 324.8892118861. The cubic root of 105553 is about 47.2596165677.

The spelling of 105553 in words is "one hundred five thousand, five hundred fifty-three".