Search a number
-
+
105936103 = 7133733121
BaseRepresentation
bin1100101000001…
…11010011100111
321101100010000101
412110013103213
5204104423403
614302324531
72424304420
oct624072347
9241303011
10105936103
11548863a9
122b589747
1318c416b0
14100d8647
15947871d
hex65074e7

105936103 has 16 divisors (see below), whose sum is σ = 130774336. Its totient is φ = 83566080.

The previous prime is 105936079. The next prime is 105936121. The reversal of 105936103 is 301639501.

It is not a de Polignac number, because 105936103 - 29 = 105935591 is a prime.

It is a super-2 number, since 2×1059361032 = 22444915837653218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105936403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32383 + ... + 35503.

It is an arithmetic number, because the mean of its divisors is an integer number (8173396).

Almost surely, 2105936103 is an apocalyptic number.

105936103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105936103 is a deficient number, since it is larger than the sum of its proper divisors (24838233).

105936103 is a wasteful number, since it uses less digits than its factorization.

105936103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514.

The product of its (nonzero) digits is 2430, while the sum is 28.

The square root of 105936103 is about 10292.5265605681. The cubic root of 105936103 is about 473.1672355232.

The spelling of 105936103 in words is "one hundred five million, nine hundred thirty-six thousand, one hundred three".

Divisors: 1 7 13 91 373 2611 3121 4849 21847 33943 40573 284011 1164133 8148931 15133729 105936103