105051 has 12 divisors (see below), whose sum is σ = 149352.
Its totient is φ = 65664.
The previous prime is 105037. The next prime is 105071. The reversal of 105051 is 150501.
It is not a de Polignac number, because 105051 - 25 = 105019 is a prime.
It is a super-3 number, since 3×1050513 = 3477937933342953, which contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (105031) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1035 + ... + 1131.
It is an arithmetic number, because the mean of its divisors is an integer number (12446).
2105051 is an apocalyptic number.
105051 is a deficient number, since it is larger than the sum of its proper divisors (44301).
105051 is an equidigital number, since it uses as much as digits as its factorization.
105051 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 138 (or 119 counting only the distinct ones).
The product of its (nonzero) digits is 25, while the sum is 12.
The square root of 105051 is about 324.1157200754.
The cubic root of 105051 is about 47.1845767380.
Adding to 105051 its reverse (150501), we get a palindrome (255552).
The spelling of 105051 in words is "one hundred five thousand, fifty-one".