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107125 = 53857
BaseRepresentation
bin11010001001110101
312102221121
4122021311
511412000
62143541
7624214
oct321165
9172847
10107125
1173537
1251bb1
13399b5
142b07b
1521b1a
hex1a275

107125 has 8 divisors (see below), whose sum is σ = 133848. Its totient is φ = 85600.

The previous prime is 107123. The next prime is 107137. The reversal of 107125 is 521701.

Adding to 107125 its reverse (521701), we get a palindrome (628826).

It can be divided in two parts, 107 and 125, that added together give a palindrome (232).

107125 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 4 ways, for example, as 196 + 106929 = 14^2 + 327^2 .

It is not a de Polignac number, because 107125 - 21 = 107123 is a prime.

It is a super-2 number, since 2×1071252 = 22951531250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107099 and 107108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107123) 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, 304 + ... + 553.

It is an arithmetic number, because the mean of its divisors is an integer number (16731).

2107125 is an apocalyptic number.

It is an amenable number.

107125 is a deficient number, since it is larger than the sum of its proper divisors (26723).

107125 is an frugal number, since it uses more digits than its factorization.

107125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 107125 is about 327.2995569811. The cubic root of 107125 is about 47.4930737823.

The spelling of 107125 in words is "one hundred seven thousand, one hundred twenty-five".

Divisors: 1 5 25 125 857 4285 21425 107125