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105663045246 = 23114337231517
BaseRepresentation
bin110001001101000000…
…0100001111001111110
3101002201211122211220020
41202122000201321332
53212344214421441
6120312501433010
710430300031333
oct1423200417176
9332654584806
10105663045246
11408a2041890
121858a40b766
139c6bb3bca5
1451851da98a
152b364b3e66
hex189a021e7e

105663045246 has 32 divisors (see below), whose sum is σ = 235898898048. Its totient is φ = 31274473440.

The previous prime is 105663045221. The next prime is 105663045283. The reversal of 105663045246 is 642540366501.

It is a super-2 number, since 2×1056630452462 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105663045198 and 105663045207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18612921 + ... + 18618596.

It is an arithmetic number, because the mean of its divisors is an integer number (7371840564).

Almost surely, 2105663045246 is an apocalyptic number.

105663045246 is an abundant number, since it is smaller than the sum of its proper divisors (130235852802).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105663045246 is a wasteful number, since it uses less digits than its factorization.

105663045246 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37231576.

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 105663045246 in words is "one hundred five billion, six hundred sixty-three million, forty-five thousand, two hundred forty-six".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 946 1419 2838 37231517 74463034 111694551 223389102 409546687 819093374 1228640061 1600955231 2457280122 3201910462 4802865693 9605731386 17610507541 35221015082 52831522623 105663045246