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105068508 = 223232913127
BaseRepresentation
bin1100100001100…
…11011111011100
321022201000220020
412100303133130
5203344143013
614231552140
72414032116
oct620633734
9238630806
10105068508
1154343586
122b22b650
13189c981c
14dd503b6
159356623
hex64337dc

105068508 has 48 divisors (see below), whose sum is σ = 264660480. Its totient is φ = 32342464.

The previous prime is 105068503. The next prime is 105068519. The reversal of 105068508 is 805860501.

It is a super-2 number, since 2×1050685082 = 22078782746692128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105068501) 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, 1441 + ... + 14567.

It is an arithmetic number, because the mean of its divisors is an integer number (5513760).

Almost surely, 2105068508 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105068508, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132330240).

105068508 is an abundant number, since it is smaller than the sum of its proper divisors (159591972).

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

105068508 is a wasteful number, since it uses less digits than its factorization.

105068508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13186 (or 13184 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The square root of 105068508 is about 10250.2930689810. The cubic root of 105068508 is about 471.8719788295.

The spelling of 105068508 in words is "one hundred five million, sixty-eight thousand, five hundred eight".

Divisors: 1 2 3 4 6 12 23 29 46 58 69 87 92 116 138 174 276 348 667 1334 2001 2668 4002 8004 13127 26254 39381 52508 78762 157524 301921 380683 603842 761366 905763 1142049 1207684 1522732 1811526 2284098 3623052 4568196 8755709 17511418 26267127 35022836 52534254 105068508