107205104127 has 64 divisors (see below), whose sum is σ = 160852635648. Its totient is φ = 62964000000.

The previous prime is 107205104113. The next prime is 107205104143. The reversal of 107205104127 is 721401502701.

It is not a de Polignac number, because 107205104127 - 2¹⁵ = 107205071359 is a prime.

It is a super-2 number, since 2×107205104127² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107205104094 and 107205104103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107205104327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35721627 + ... + 35724627.

It is an arithmetic number, because the mean of its divisors is an integer number (2513322432).

Almost surely, 2^107205104127 is an apocalyptic number.

107205104127 is a deficient number, since it is larger than the sum of its proper divisors (53647531521).

107205104127 is a wasteful number, since it uses less digits than its factorization.

107205104127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3340.

The product of its (nonzero) digits is 3920, while the sum is 30.

Adding to 107205104127 its reverse (721401502701), we get a palindrome (828606606828).

The spelling of 107205104127 in words is "one hundred seven billion, two hundred five million, one hundred four thousand, one hundred twenty-seven".