Search a number
-
+
105680730436 = 22136719327127
BaseRepresentation
bin110001001101100001…
…1111111100101000100
3101002210001221100102021
41202123003333211010
53212413231333221
6120314332452524
710430603246551
oct1423303774504
9332701840367
10105680730436
1140901020a46
121859431a144
139c726c18b8
1451876c1a28
152b37d09041
hex189b0ff944

105680730436 has 12 divisors (see below), whose sum is σ = 185076577728. Its totient is φ = 52801708232.

The previous prime is 105680730377. The next prime is 105680730457. The reversal of 105680730436 is 634037086501.

It is a super-2 number, since 2×1056807304362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105680730392 and 105680730401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9658096 + ... + 9669031.

It is an arithmetic number, because the mean of its divisors is an integer number (15423048144).

Almost surely, 2105680730436 is an apocalyptic number.

It is an amenable number.

105680730436 is a deficient number, since it is larger than the sum of its proper divisors (79395847292).

105680730436 is a wasteful number, since it uses less digits than its factorization.

105680730436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19328498 (or 19328496 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 43.

The spelling of 105680730436 in words is "one hundred five billion, six hundred eighty million, seven hundred thirty thousand, four hundred thirty-six".

Divisors: 1 2 4 1367 2734 5468 19327127 38654254 77308508 26420182609 52840365218 105680730436