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105051 = 319297
BaseRepresentation
bin11001101001011011
312100002210
4121221123
511330201
62130203
7615162
oct315133
9170083
10105051
1171a21
1250963
1338a7b
142a3d9
15211d6
hex19a5b

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".

Divisors: 1 3 19 57 97 291 361 1083 1843 5529 35017 105051