Search a number
107108 = 2226777
BaseRepresentation
bin11010001001100100
312102220222
4122021210
511411413
62143512
7624161
oct321144
9172828
10107108
1173521
1251b98
13399a1
142b068
1521b08
hex1a264

107108 has 6 divisors (see below), whose sum is σ = 187446. Its totient is φ = 53552.

The previous prime is 107101. The next prime is 107119. The reversal of 107108 is 801701.

Adding to 107108 its reverse (801701), we get a palindrome (908809).

It can be written as a sum of positive squares in only one way, i.e., 73984 + 33124 = 272^2 + 182^2 .

It is a super-2 number, since 2×1071082 = 22944247328, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107108.

It is not an unprimeable number, because it can be changed into a prime (107101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13385 + ... + 13392.

It is an arithmetic number, because the mean of its divisors is an integer number (31241).

2107108 is an apocalyptic number.

It is an amenable number.

107108 is a deficient number, since it is larger than the sum of its proper divisors (80338).

107108 is a wasteful number, since it uses less digits than its factorization.

107108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26781 (or 26779 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 17.

The square root of 107108 is about 327.2735858575. The cubic root of 107108 is about 47.4905613748.

The spelling of 107108 in words is "one hundred seven thousand, one hundred eight".

Divisors: 1 2 4 26777 53554 107108