107132117 has 2 divisors, whose sum is σ = 107132118. Its totient is φ = 107132116.

The previous prime is 107132101. The next prime is 107132149. The reversal of 107132117 is 711231701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96314596 + 10817521 = 9814^2 + 3289^2 .

It is an emirp because it is prime and its reverse (711231701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 107132117 - 2⁴ = 107132101 is a prime.

It is a super-2 number, since 2×107132117² = 22954580985803378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107132092 and 107132101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107132017) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53566058 + 53566059.

It is an arithmetic number, because the mean of its divisors is an integer number (53566059).

Almost surely, 2^107132117 is an apocalyptic number.

It is an amenable number.

107132117 is a deficient number, since it is larger than the sum of its proper divisors (1).

107132117 is an equidigital number, since it uses as much as digits as its factorization.

107132117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 294, while the sum is 23.

The square root of 107132117 is about 10350.4645789452. The cubic root of 107132117 is about 474.9412551543.

Adding to 107132117 its reverse (711231701), we get a palindrome (818363818).

The spelling of 107132117 in words is "one hundred seven million, one hundred thirty-two thousand, one hundred seventeen".