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105316016 = 2413506327
BaseRepresentation
bin1100100011011…
…11111010110000
321100011121102012
412101233322300
5203430103031
614241142052
72416112531
oct621577260
9240147365
10105316016
11544a2533
122b32a928
1318a85390
14ddb6688
1593a4b2b
hex646feb0

105316016 has 20 divisors (see below), whose sum is σ = 219746352. Its totient is φ = 48607296.

The previous prime is 105315997. The next prime is 105316061. The reversal of 105316016 is 610613501.

It is a happy number.

It is a super-2 number, since 2×1053160162 = 22182926452224512, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105315982 and 105316000.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 252956 + ... + 253371.

Almost surely, 2105316016 is an apocalyptic number.

105316016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105316016 is an abundant number, since it is smaller than the sum of its proper divisors (114430336).

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

105316016 is a wasteful number, since it uses less digits than its factorization.

105316016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506348 (or 506342 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 105316016 is about 10262.3591829559. The cubic root of 105316016 is about 472.2422150479.

Adding to 105316016 its reverse (610613501), we get a palindrome (715929517).

The spelling of 105316016 in words is "one hundred five million, three hundred sixteen thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 52 104 208 506327 1012654 2025308 4050616 6582251 8101232 13164502 26329004 52658008 105316016