87829906205 has 8 divisors (see below), whose sum is σ = 105646236504. Its totient is φ = 70097025600.

The previous prime is 87829906201. The next prime is 87829906249. The reversal of 87829906205 is 50260992878.

It can be written as a sum of positive squares in 4 ways, for example, as 11480479609 + 76349426596 = 107147^2 + 276314^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 87829906205 - 2² = 87829906201 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87829906201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20860106 + ... + 20864315.

It is an arithmetic number, because the mean of its divisors is an integer number (13205779563).

Almost surely, 2^87829906205 is an apocalyptic number.

It is an amenable number.

87829906205 is a deficient number, since it is larger than the sum of its proper divisors (17816330299).

87829906205 is a wasteful number, since it uses less digits than its factorization.

87829906205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41724847.

The product of its (nonzero) digits is 4354560, while the sum is 56.

The spelling of 87829906205 in words is "eighty-seven billion, eight hundred twenty-nine million, nine hundred six thousand, two hundred five".