107127117 has 10 divisors (see below), whose sum is σ = 160029518. Its totient is φ = 71418024.

The previous prime is 107127089. The next prime is 107127121. The reversal of 107127117 is 711721701.

It can be written as a sum of positive squares in only one way, i.e., 57972996 + 49154121 = 7614^2 + 7011^2 .

It is not a de Polignac number, because 107127117 - 2⁸ = 107126861 is a prime.

It is a super-2 number, since 2×107127117² = 22952438393463378, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107127127) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 661198 + ... + 661359.

Almost surely, 2^107127117 is an apocalyptic number.

It is an amenable number.

107127117 is a deficient number, since it is larger than the sum of its proper divisors (52902401).

107127117 is an equidigital number, since it uses as much as digits as its factorization.

107127117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1322569 (or 1322560 counting only the distinct ones).

The product of its (nonzero) digits is 686, while the sum is 27.

The square root of 107127117 is about 10350.2230410750. The cubic root of 107127117 is about 474.9338663236.

Adding to 107127117 its reverse (711721701), we get a palindrome (818848818).

The spelling of 107127117 in words is "one hundred seven million, one hundred twenty-seven thousand, one hundred seventeen".