107117127 has 32 divisors (see below), whose sum is σ = 173107200. Its totient is φ = 65066976.

The previous prime is 107117113. The next prime is 107117147. The reversal of 107117127 is 721711701.

It is not a de Polignac number, because 107117127 - 2⁶ = 107117063 is a prime.

It is a super-2 number, since 2×107117127² = 22948157793468258, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 107117127.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107117147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25798 + ... + 29660.

It is an arithmetic number, because the mean of its divisors is an integer number (5409600).

Almost surely, 2^107117127 is an apocalyptic number.

107117127 is a deficient number, since it is larger than the sum of its proper divisors (65990073).

107117127 is a wasteful number, since it uses less digits than its factorization.

107117127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964 (or 3958 counting only the distinct ones).

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

The square root of 107117127 is about 10349.7404315277. The cubic root of 107117127 is about 474.9191027513.

Adding to 107117127 its reverse (721711701), we get a palindrome (828828828).

The spelling of 107117127 in words is "one hundred seven million, one hundred seventeen thousand, one hundred twenty-seven".