75105640 has 32 divisors (see below), whose sum is σ = 171763560. Its totient is φ = 29548800.

The previous prime is 75105637. The next prime is 75105647. The reversal of 75105640 is 4650157.

It can be written as a sum of positive squares in 4 ways, for example, as 27688644 + 47416996 = 5262^2 + 6886^2 .

It is a junction number, because it is equal to n+sod(n) for n = 75105599 and 75105608.

It is not an unprimeable number, because it can be changed into a prime (75105647) 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 7 ways as a sum of consecutive naturals, for example, 12951 + ... + 17830.

Almost surely, 2^75105640 is an apocalyptic number.

It is an amenable number.

75105640 is an abundant number, since it is smaller than the sum of its proper divisors (96657920).

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

75105640 is a wasteful number, since it uses less digits than its factorization.

75105640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30853 (or 30849 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 75105640 is about 8666.3510198930. The cubic root of 75105640 is about 421.9142402640.

Adding to 75105640 its reverse (4650157), we get a palindrome (79755797).

The spelling of 75105640 in words is "seventy-five million, one hundred five thousand, six hundred forty".