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107760081 = 311132391051
BaseRepresentation
bin1100110110001…
…00100111010001
321111202210001010
412123010213101
5210041310311
614405401133
72445642222
oct633044721
9244683033
10107760081
1155911820
12301091a9
131942c980
1410451249
1596d8da6
hex66c49d1

107760081 has 32 divisors (see below), whose sum is σ = 169666560. Its totient is φ = 59976000.

The previous prime is 107760071. The next prime is 107760101. The reversal of 107760081 is 180067701.

It is not a de Polignac number, because 107760081 - 214 = 107743697 is a prime.

It is a super-2 number, since 2×1077600812 = 23224470114253122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (107760011) 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 31 ways as a sum of consecutive naturals, for example, 102006 + ... + 103056.

It is an arithmetic number, because the mean of its divisors is an integer number (5302080).

Almost surely, 2107760081 is an apocalyptic number.

107760081 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

107760081 is a deficient number, since it is larger than the sum of its proper divisors (61906479).

107760081 is a wasteful number, since it uses less digits than its factorization.

107760081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317.

The product of its (nonzero) digits is 2352, while the sum is 30.

The square root of 107760081 is about 10380.7553193397. The cubic root of 107760081 is about 475.8674174092.

The spelling of 107760081 in words is "one hundred seven million, seven hundred sixty thousand, eighty-one".

Divisors: 1 3 11 13 33 39 143 239 429 717 1051 2629 3107 3153 7887 9321 11561 13663 34177 34683 40989 102531 150293 251189 450879 753567 2763079 3265457 8289237 9796371 35920027 107760081