Search a number
-
+
105343362355 = 57112331174331
BaseRepresentation
bin110001000011011110…
…1000010010100110011
3101001220120010021102011
41202012331002110303
53211220400043410
6120221041503351
710416335543260
oct1420675022463
9331816107364
10105343362355
1140748644350
12184bb341b57
139c1a83c20a
145154982267
152b183b818a
hex1886f42533

105343362355 has 32 divisors (see below), whose sum is σ = 158281164288. Its totient is φ = 65386694400.

The previous prime is 105343362317. The next prime is 105343362401. The reversal of 105343362355 is 553263343501.

It is not a de Polignac number, because 105343362355 - 27 = 105343362227 is a prime.

It is a super-2 number, since 2×1053433623552 (a number of 23 digits) contains 22 as substring.

It is a Duffinian 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 31 ways as a sum of consecutive naturals, for example, 497461 + ... + 676870.

It is an arithmetic number, because the mean of its divisors is an integer number (4946286384).

Almost surely, 2105343362355 is an apocalyptic number.

105343362355 is a deficient number, since it is larger than the sum of its proper divisors (52937801933).

105343362355 is a wasteful number, since it uses less digits than its factorization.

105343362355 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174587.

The product of its (nonzero) digits is 486000, while the sum is 40.

The spelling of 105343362355 in words is "one hundred five billion, three hundred forty-three million, three hundred sixty-two thousand, three hundred fifty-five".

Divisors: 1 5 7 11 35 55 77 233 385 1165 1631 2563 8155 12815 17941 89705 1174331 5871655 8220317 12917641 41101585 64588205 90423487 273619123 452117435 1368095615 1915333861 3009810353 9576669305 15049051765 21068672471 105343362355