107785000 has 40 divisors (see below), whose sum is σ = 252551970. Its totient is φ = 43112000.

The previous prime is 107784979. The next prime is 107785003. The reversal of 107785000 is 587701.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1653796 + 106131204 = 1286^2 + 10302^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 107785000.

It is not an unprimeable number, because it can be changed into a prime (107785003) 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 9 ways as a sum of consecutive naturals, for example, 5779 + ... + 15778.

Almost surely, 2^107785000 is an apocalyptic number.

107785000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107785000 is an abundant number, since it is smaller than the sum of its proper divisors (144766970).

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

107785000 is an equidigital number, since it uses as much as digits as its factorization.

107785000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21583 (or 21564 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 28.

The square root of 107785000 is about 10381.9554998083. The cubic root of 107785000 is about 475.9040952654.

The spelling of 107785000 in words is "one hundred seven million, seven hundred eighty-five thousand".