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107172 = 223213229
BaseRepresentation
bin11010001010100100
312110000100
4122022210
511412142
62144100
7624312
oct321244
9173010
10107172
117357a
1252030
1339a20
142b0b2
1521b4c
hex1a2a4

107172 has 36 divisors (see below), whose sum is σ = 293020. Its totient is φ = 32832.

The previous prime is 107171. The next prime is 107183. The reversal of 107172 is 271701.

Adding to 107172 its reverse (271701), we get a palindrome (378873).

107172 is nontrivially palindromic in base 14.

It can be written as a sum of positive squares in 2 ways, for example, as 60516 + 46656 = 246^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1071722 = 22971675168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (107171) 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 in 11 ways as a sum of consecutive naturals, for example, 354 + ... + 582.

2107172 is an apocalyptic number.

107172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146510).

107172 is an abundant number, since it is smaller than the sum of its proper divisors (185848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107172 is a wasteful number, since it uses less digits than its factorization.

107172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 18.

The square root of 107172 is about 327.3713487769. The cubic root of 107172 is about 47.5000184672.

The spelling of 107172 in words is "one hundred seven thousand, one hundred seventy-two", and thus it is an iban number.

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 229 234 458 468 687 916 1374 2061 2748 2977 4122 5954 8244 8931 11908 17862 26793 35724 53586 107172