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107114 = 2721093
BaseRepresentation
bin11010001001101010
312102221012
4122021222
511411424
62143522
7624200
oct321152
9172835
10107114
1173527
1251ba2
13399a7
142b070
1521b0e
hex1a26a

107114 has 12 divisors (see below), whose sum is σ = 187074. Its totient is φ = 45864.

The previous prime is 107101. The next prime is 107119. The reversal of 107114 is 411701.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 60025 + 47089 = 245^2 + 217^2 .

It is a super-2 number, since 2×1071142 = 22946817992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107114.

It is not an unprimeable number, because it can be changed into a prime (107119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 449 + ... + 644.

2107114 is an apocalyptic number.

107114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

107114 is a deficient number, since it is larger than the sum of its proper divisors (79960).

107114 is a wasteful number, since it uses less digits than its factorization.

107114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1109 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 107114 is about 327.2827523717. The cubic root of 107114 is about 47.4914481372.

Adding to 107114 its reverse (411701), we get a palindrome (518815).

The spelling of 107114 in words is "one hundred seven thousand, one hundred fourteen", and thus it is an iban number.

Divisors: 1 2 7 14 49 98 1093 2186 7651 15302 53557 107114