107575312 has 20 divisors (see below), whose sum is σ = 224460460. Its totient is φ = 49650048.

The previous prime is 107575309. The next prime is 107575313. The reversal of 107575312 is 213575701.

It can be written as a sum of positive squares in 2 ways, for example, as 53640976 + 53934336 = 7324^2 + 7344^2 .

It is a super-4 number, since 4×107575312⁴ (a number of 33 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (107575313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 258387 + ... + 258802.

It is an arithmetic number, because the mean of its divisors is an integer number (11223023).

Almost surely, 2^107575312 is an apocalyptic number.

It is an amenable number.

107575312 is an abundant number, since it is smaller than the sum of its proper divisors (116885148).

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

107575312 is a wasteful number, since it uses less digits than its factorization.

107575312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517210 (or 517204 counting only the distinct ones).

The product of its (nonzero) digits is 7350, while the sum is 31.

The square root of 107575312 is about 10371.8519079285. The cubic root of 107575312 is about 475.5952824736.

The spelling of 107575312 in words is "one hundred seven million, five hundred seventy-five thousand, three hundred twelve".