Search a number
-
+
105204333 = 3132697547
BaseRepresentation
bin1100100010101…
…00101001101101
321022221221012210
412101110221231
5203413014313
614234521033
72415136113
oct621245155
9238857183
10105204333
1154426633
122b296179
1318a465b0
14dd87ab3
1593819c3
hex6454a6d

105204333 has 8 divisors (see below), whose sum is σ = 151062688. Its totient is φ = 64741104.

The previous prime is 105204329. The next prime is 105204343. The reversal of 105204333 is 333402501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 105204333 - 22 = 105204329 is a prime.

It is a super-2 number, since 2×1052043332 = 22135903363949778, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105204343) 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 7 ways as a sum of consecutive naturals, for example, 1348735 + ... + 1348812.

It is an arithmetic number, because the mean of its divisors is an integer number (18882836).

Almost surely, 2105204333 is an apocalyptic number.

105204333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105204333 is a deficient number, since it is larger than the sum of its proper divisors (45858355).

105204333 is a wasteful number, since it uses less digits than its factorization.

105204333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2697563.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 105204333 is about 10256.9163494688. The cubic root of 105204333 is about 472.0752253104.

Adding to 105204333 its reverse (333402501), we get a palindrome (438606834).

The spelling of 105204333 in words is "one hundred five million, two hundred four thousand, three hundred thirty-three".

Divisors: 1 3 13 39 2697547 8092641 35068111 105204333