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107117065 = 51121011753
BaseRepresentation
bin1100110001001…
…11101000001001
321110120002222201
412120213220021
5204410221230
614343520201
72440323436
oct630475011
9243502881
10107117065
1155512700
122ba59061
13192660a3
1410324b8d
15960d5ca
hex6627a09

107117065 has 24 divisors (see below), whose sum is σ = 142768584. Its totient is φ = 77088000.

The previous prime is 107117063. The next prime is 107117071. The reversal of 107117065 is 560711701.

It can be written as a sum of positive squares in 4 ways, for example, as 9759376 + 97357689 = 3124^2 + 9867^2 .

It is not a de Polignac number, because 107117065 - 21 = 107117063 is a prime.

It is a super-2 number, since 2×1071170652 = 22948131228428450, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107117063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 60229 + ... + 61981.

It is an arithmetic number, because the mean of its divisors is an integer number (5948691).

Almost surely, 2107117065 is an apocalyptic number.

It is an amenable number.

107117065 is a deficient number, since it is larger than the sum of its proper divisors (35651519).

107117065 is a wasteful number, since it uses less digits than its factorization.

107117065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 1470, while the sum is 28.

The square root of 107117065 is about 10349.7374362831. The cubic root of 107117065 is about 474.9190111227.

Adding to 107117065 its reverse (560711701), we get a palindrome (667828766).

The spelling of 107117065 in words is "one hundred seven million, one hundred seventeen thousand, sixty-five".

Divisors: 1 5 11 55 101 121 505 605 1111 1753 5555 8765 12221 19283 61105 96415 177053 212113 885265 1060565 1947583 9737915 21423413 107117065