107585090 has 16 divisors (see below), whose sum is σ = 196828920. Its totient is φ = 42328320.

The previous prime is 107585081. The next prime is 107585111. The reversal of 107585090 is 90585701.

It can be written as a sum of positive squares in 4 ways, for example, as 21893041 + 85692049 = 4679^2 + 9257^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 107585090.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 87575 + ... + 88794.

Almost surely, 2^107585090 is an apocalyptic number.

107585090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107585090 is a deficient number, since it is larger than the sum of its proper divisors (89243830).

107585090 is a wasteful number, since it uses less digits than its factorization.

107585090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176437.

The product of its (nonzero) digits is 12600, while the sum is 35.

The square root of 107585090 is about 10372.3232691620. The cubic root of 107585090 is about 475.6096916960.

The spelling of 107585090 in words is "one hundred seven million, five hundred eighty-five thousand, ninety".