107405117 has 16 divisors (see below), whose sum is σ = 114279984. Its totient is φ = 100800000.

The previous prime is 107405107. The next prime is 107405141. The reversal of 107405117 is 711504701.

It can be written as a sum of positive squares in 8 ways, for example, as 19589476 + 87815641 = 4426^2 + 9371^2 .

It is a cyclic number.

It is not a de Polignac number, because 107405117 - 2¹⁴ = 107388733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107405107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152867 + ... + 153567.

It is an arithmetic number, because the mean of its divisors is an integer number (7142499).

Almost surely, 2^107405117 is an apocalyptic number.

It is an amenable number.

107405117 is a deficient number, since it is larger than the sum of its proper divisors (6874867).

107405117 is a wasteful number, since it uses less digits than its factorization.

107405117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880.

The product of its (nonzero) digits is 980, while the sum is 26.

The square root of 107405117 is about 10363.6440019908. The cubic root of 107405117 is about 475.3443368421.

Adding to 107405117 its reverse (711504701), we get a palindrome (818909818).

It can be divided in two parts, 107 and 405117, that added together give a cube (405224 = 74³).

The spelling of 107405117 in words is "one hundred seven million, four hundred five thousand, one hundred seventeen".