107075340 has 72 divisors (see below), whose sum is σ = 325896480. Its totient is φ = 28456704.

The previous prime is 107075323. The next prime is 107075341. The reversal of 107075340 is 43570701.

It is a super-2 number, since 2×107075340² = 22930256872231200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107075341) 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 23 ways as a sum of consecutive naturals, for example, 63792 + ... + 65448.

It is an arithmetic number, because the mean of its divisors is an integer number (4526340).

Almost surely, 2^107075340 is an apocalyptic number.

107075340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107075340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162948240).

107075340 is an abundant number, since it is smaller than the sum of its proper divisors (218821140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

107075340 is a wasteful number, since it uses less digits than its factorization.

107075340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2031 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 107075340 is about 10347.7214883278. The cubic root of 107075340 is about 474.8573385054.

The spelling of 107075340 in words is "one hundred seven million, seventy-five thousand, three hundred forty".