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105334213 = 1012693877
BaseRepresentation
bin1100100011101…
…00010111000101
321100012112101011
412101310113011
5203431143323
614241402221
72416216555
oct621642705
9240175334
10105334213
1154505176
122b339371
1318a9074a
14ddbd165
1593aa20d
hex64745c5

105334213 has 8 divisors (see below), whose sum is σ = 106800120. Its totient is φ = 103876800.

The previous prime is 105334199. The next prime is 105334237. The reversal of 105334213 is 312433501.

It can be written as a sum of positive squares in 4 ways, for example, as 8862529 + 96471684 = 2977^2 + 9822^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 105334213 - 213 = 105326021 is a prime.

It is a super-2 number, since 2×1053342132 = 22190592856658738, 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 (105334253) 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, 25231 + ... + 29107.

It is an arithmetic number, because the mean of its divisors is an integer number (13350015).

Almost surely, 2105334213 is an apocalyptic number.

It is an amenable number.

105334213 is a deficient number, since it is larger than the sum of its proper divisors (1465907).

105334213 is a wasteful number, since it uses less digits than its factorization.

105334213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4247.

The product of its (nonzero) digits is 1080, while the sum is 22.

The square root of 105334213 is about 10263.2457341720. The cubic root of 105334213 is about 472.2694122304.

Adding to 105334213 its reverse (312433501), we get a palindrome (417767714).

The spelling of 105334213 in words is "one hundred five million, three hundred thirty-four thousand, two hundred thirteen".

Divisors: 1 101 269 3877 27169 391577 1042913 105334213