Search a number
-
+
105434563 = 1321533767
BaseRepresentation
bin1100100100011…
…00110111000011
321100101122000211
412102030313003
5203442401223
614243454551
72420115253
oct622146703
9240348024
10105434563
1154573603
122b387457
1318ac7320
1410007963
1593c9d0d
hex648cdc3

105434563 has 8 divisors (see below), whose sum is σ = 113627808. Its totient is φ = 97253184.

The previous prime is 105434551. The next prime is 105434569. The reversal of 105434563 is 365434501.

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-105434563 is a prime.

It is a super-2 number, since 2×1054345632 = 22232894150001938, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105434569) 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, 26106 + ... + 29872.

It is an arithmetic number, because the mean of its divisors is an integer number (14203476).

Almost surely, 2105434563 is an apocalyptic number.

105434563 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105434563 is a deficient number, since it is larger than the sum of its proper divisors (8193245).

105434563 is a wasteful number, since it uses less digits than its factorization.

105434563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5933.

The product of its (nonzero) digits is 21600, while the sum is 31.

The square root of 105434563 is about 10268.1333746694. The cubic root of 105434563 is about 472.4193388060.

The spelling of 105434563 in words is "one hundred five million, four hundred thirty-four thousand, five hundred sixty-three".

Divisors: 1 13 2153 3767 27989 48971 8110351 105434563