10205776850 has 72 divisors (see below), whose sum is σ = 20262715380. Its totient is φ = 3823395840.

The previous prime is 10205776843. The next prime is 10205776877. The reversal of 10205776850 is 5867750201.

10205776850 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 1988535649 + 8217241201 = 44593^2 + 90649^2 .

It is a super-2 number, since 2×10205776850² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10205776798 and 10205776807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1603274 + ... + 1609626.

Almost surely, 2^10205776850 is an apocalyptic number.

10205776850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10205776850 is a deficient number, since it is larger than the sum of its proper divisors (10056938530).

10205776850 is a wasteful number, since it uses less digits than its factorization.

10205776850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6492 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 41.

The spelling of 10205776850 in words is "ten billion, two hundred five million, seven hundred seventy-six thousand, eight hundred fifty".