10205085415 has 8 divisors (see below), whose sum is σ = 13995545760. Its totient is φ = 6997772832.

The previous prime is 10205085379. The next prime is 10205085437. The reversal of 10205085415 is 51458050201.

10205085415 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is not a de Polignac number, because 10205085415 - 2¹⁵ = 10205052647 is a prime.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 145786900 + ... + 145786969.

It is an arithmetic number, because the mean of its divisors is an integer number (1749443220).

Almost surely, 2^10205085415 is an apocalyptic number.

10205085415 is a deficient number, since it is larger than the sum of its proper divisors (3790460345).

10205085415 is an equidigital number, since it uses as much as digits as its factorization.

10205085415 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291573881.

The product of its (nonzero) digits is 8000, while the sum is 31.

The spelling of 10205085415 in words is "ten billion, two hundred five million, eighty-five thousand, four hundred fifteen".