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107163 = 3772
BaseRepresentation
bin11010001010011011
312110000000
4122022123
511412123
62144043
7624300
oct321233
9173000
10107163
1173571
1252023
1339a14
142b0a7
1521b43
hex1a29b

107163 has 24 divisors (see below), whose sum is σ = 186960. Its totient is φ = 61236.

The previous prime is 107137. The next prime is 107171. The reversal of 107163 is 361701.

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.

It is not a de Polignac number, because 107163 - 26 = 107099 is a prime.

It is a super-2 number, since 2×1071632 = 22967817138, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 15306 + ... + 15312.

It is an arithmetic number, because the mean of its divisors is an integer number (7790).

107163 is a Friedman number, since it can be written as (60-11)*3^7, using all its digits and the basic arithmetic operations.

2107163 is an apocalyptic number.

107163 is a deficient number, since it is larger than the sum of its proper divisors (79797).

107163 is an frugal number, since it uses more digits than its factorization.

107163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 107163 is about 327.3576026305. The cubic root of 107163 is about 47.4986887911.

Adding to 107163 its reverse (361701), we get a palindrome (468864).

The spelling of 107163 in words is "one hundred seven thousand, one hundred sixty-three".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 2187 3969 5103 11907 15309 35721 107163