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105076506 = 2383257821
BaseRepresentation
bin1100100001101…
…01011100011010
321022201102212110
412100311130122
5203344422011
614232053150
72414064333
oct620653432
9238642773
10105076506
1154349597
122b2341b6
1318a00362
14dd5328a
159358ba6
hex643571a

105076506 has 32 divisors (see below), whose sum is σ = 213772608. Its totient is φ = 34426880.

The previous prime is 105076501. The next prime is 105076513. The reversal of 105076506 is 605670501.

It is a super-2 number, since 2×1050765062 = 22082144226336072, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105076501) 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 15 ways as a sum of consecutive naturals, for example, 127576 + ... + 128396.

It is an arithmetic number, because the mean of its divisors is an integer number (6680394).

Almost surely, 2105076506 is an apocalyptic number.

105076506 is an abundant number, since it is smaller than the sum of its proper divisors (108696102).

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

105076506 is a wasteful number, since it uses less digits than its factorization.

105076506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1166.

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 105076506 is about 10250.6831967435. The cubic root of 105076506 is about 471.8839517680.

The spelling of 105076506 in words is "one hundred five million, seventy-six thousand, five hundred six".

Divisors: 1 2 3 6 83 166 249 257 498 514 771 821 1542 1642 2463 4926 21331 42662 63993 68143 127986 136286 204429 210997 408858 421994 632991 1265982 17512751 35025502 52538253 105076506