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105300 = 22345213
BaseRepresentation
bin11001101101010100
312100110000
4121231110
511332200
62131300
7615666
oct315524
9170400
10105300
1172128
1250b30
1338c10
142a536
1521300
hex19b54

105300 has 90 divisors (see below), whose sum is σ = 367598. Its totient is φ = 25920.

The previous prime is 105277. The next prime is 105319. The reversal of 105300 is 3501.

105300 = T79 + T80 + ... + T103.

It can be written as a sum of positive squares in 3 ways, for example, as 324 + 104976 = 18^2 + 324^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×1053002 = 22176180000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a zygodrome in base 5.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105300.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 8094 + ... + 8106.

2105300 is an apocalyptic number.

105300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 324×325.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183799).

105300 is an abundant number, since it is smaller than the sum of its proper divisors (262298).

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

105300 is a wasteful number, since it uses less digits than its factorization.

105300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 9.

The square root of 105300 is about 324.4996147918. The cubic root of 105300 is about 47.2218274989.

Adding to 105300 its reverse (3501), we get a palindrome (108801).

The spelling of 105300 in words is "one hundred five thousand, three hundred".