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107027 = 1943131
BaseRepresentation
bin11010001000010011
312102210222
4122020103
511411102
62143255
7624014
oct321023
9172728
10107027
1173458
1251b2b
133993b
142b00b
1521aa2
hex1a213

107027 has 8 divisors (see below), whose sum is σ = 116160. Its totient is φ = 98280.

The previous prime is 107021. The next prime is 107033. The reversal of 107027 is 720701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (107021) and next prime (107033).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 107027 - 26 = 106963 is a prime.

It is a super-2 number, since 2×1070272 = 22909557458, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106996 and 107014.

It is not an unprimeable number, because it can be changed into a prime (107021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 752 + ... + 882.

It is an arithmetic number, because the mean of its divisors is an integer number (14520).

2107027 is an apocalyptic number.

107027 is a deficient number, since it is larger than the sum of its proper divisors (9133).

107027 is a wasteful number, since it uses less digits than its factorization.

107027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193.

The product of its (nonzero) digits is 98, while the sum is 17.

The square root of 107027 is about 327.1498127770. The cubic root of 107027 is about 47.4785868396.

Subtracting from 107027 its product of nonzero digits (98), we obtain a square (106929 = 3272).

Adding to 107027 its reverse (720701), we get a palindrome (827728).

The spelling of 107027 in words is "one hundred seven thousand, twenty-seven", and thus it is an iban number.

Divisors: 1 19 43 131 817 2489 5633 107027