Search a number
-
+
105675610813 = 173941649141
BaseRepresentation
bin110001001101011000…
…0011101101010111101
3101002202201022020121121
41202122300131222331
53212410424021223
6120314031030541
710430511604543
oct1423260355275
9332681266547
10105675610813
11408a9144553
121859266b451
139c7161b536
145186b4bd93
152b3764715d
hex189ac1dabd

105675610813 has 8 divisors (see below), whose sum is σ = 106399566936. Its totient is φ = 104952955200.

The previous prime is 105675610753. The next prime is 105675610879. The reversal of 105675610813 is 318016576501.

It can be written as a sum of positive squares in 4 ways, for example, as 10960624249 + 94714986564 = 104693^2 + 307758^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-105675610813 is a prime.

It is a super-2 number, since 2×1056756108132 (a number of 23 digits) 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 105675610813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105675610013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161778 + ... + 487363.

It is an arithmetic number, because the mean of its divisors is an integer number (13299945867).

Almost surely, 2105675610813 is an apocalyptic number.

It is an amenable number.

105675610813 is a deficient number, since it is larger than the sum of its proper divisors (723956123).

105675610813 is an equidigital number, since it uses as much as digits as its factorization.

105675610813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650255.

The product of its (nonzero) digits is 151200, while the sum is 43.

The spelling of 105675610813 in words is "one hundred five billion, six hundred seventy-five million, six hundred ten thousand, eight hundred thirteen".

Divisors: 1 173 941 162793 649141 112301393 610841681 105675610813