Search a number
-
+
105320075 = 5271035843
BaseRepresentation
bin1100100011100…
…00111010001011
321100011210222112
412101300322023
5203430220300
614241212535
72416130420
oct621607213
9240153875
10105320075
11544a5593
122b33114b
1318a87193
14ddb7d47
1593a5e35
hex6470e8b

105320075 has 24 divisors (see below), whose sum is σ = 150728448. Its totient is φ = 71506080.

The previous prime is 105320071. The next prime is 105320087. The reversal of 105320075 is 570023501.

It is not a de Polignac number, because 105320075 - 22 = 105320071 is a prime.

It is a super-2 number, since 2×1053200752 = 22184636396011250, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105320075.

It is not an unprimeable number, because it can be changed into a prime (105320071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15104 + ... + 20946.

It is an arithmetic number, because the mean of its divisors is an integer number (6280352).

Almost surely, 2105320075 is an apocalyptic number.

105320075 is a deficient number, since it is larger than the sum of its proper divisors (45408373).

105320075 is a wasteful number, since it uses less digits than its factorization.

105320075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5963 (or 5958 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 105320075 is about 10262.5569425948. The cubic root of 105320075 is about 472.2482818888.

Adding to 105320075 its reverse (570023501), we get a palindrome (675343576).

The spelling of 105320075 in words is "one hundred five million, three hundred twenty thousand, seventy-five".

Divisors: 1 5 7 25 35 103 175 515 721 2575 3605 5843 18025 29215 40901 146075 204505 601829 1022525 3009145 4212803 15045725 21064015 105320075