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105125 = 53292
BaseRepresentation
bin11001101010100101
312100012112
4121222211
511331000
62130405
7615326
oct315245
9170175
10105125
1171a89
1250a05
1338b07
142a44d
1521235
hex19aa5

105125 has 12 divisors (see below), whose sum is σ = 135876. Its totient is φ = 81200.

The previous prime is 105107. The next prime is 105137. The reversal of 105125 is 521501.

Subtracting from 105125 its sum of digits (14), we obtain a triangular number (105111 = T458).

Adding to 105125 its reverse (521501), we get a palindrome (626626).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

105125 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in 6 ways, for example, as 31684 + 73441 = 178^2 + 271^2 .

It is not a de Polignac number, because 105125 - 28 = 104869 is a prime.

It is a super-2 number, since 2×1051252 = 22102531250, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105125.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3611 + ... + 3639.

It is an arithmetic number, because the mean of its divisors is an integer number (11323).

2105125 is an apocalyptic number.

It is an amenable number.

105125 is a deficient number, since it is larger than the sum of its proper divisors (30751).

105125 is an frugal number, since it uses more digits than its factorization.

105125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 14.

The square root of 105125 is about 324.2298567375. The cubic root of 105125 is about 47.1956533870.

The spelling of 105125 in words is "one hundred five thousand, one hundred twenty-five".

Divisors: 1 5 25 29 125 145 725 841 3625 4205 21025 105125