107340309 has 20 divisors (see below), whose sum is σ = 160627500. Its totient is φ = 71435520.

The previous prime is 107340307. The next prime is 107340361. The reversal of 107340309 is 903043701.

107340309 is a `hidden beast` number, since 10 + 7 + 340 + 309 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 57426084 + 49914225 = 7578^2 + 7065^2 .

It is not a de Polignac number, because 107340309 - 2¹ = 107340307 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107340307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 85317 + ... + 86565.

It is an arithmetic number, because the mean of its divisors is an integer number (8031375).

Almost surely, 2^107340309 is an apocalyptic number.

It is an amenable number.

107340309 is a deficient number, since it is larger than the sum of its proper divisors (53287191).

107340309 is a wasteful number, since it uses less digits than its factorization.

107340309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 107340309 is about 10360.5168307377. The cubic root of 107340309 is about 475.2487103802.

The spelling of 107340309 in words is "one hundred seven million, three hundred forty thousand, three hundred nine".