10162829217 has 8 divisors (see below), whose sum is σ = 13551070624. Its totient is φ = 6774903648.

The previous prime is 10162829207. The next prime is 10162829233. The reversal of 10162829217 is 71292826101.

10162829217 is digitally balanced in base 2 and base 3, because in such bases 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 not a de Polignac number, because 10162829217 - 2¹⁴ = 10162812833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10162829207) by changing a digit.

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, 10653 + ... + 142965.

It is an arithmetic number, because the mean of its divisors is an integer number (1693883828).

Almost surely, 2^10162829217 is an apocalyptic number.

It is an amenable number.

10162829217 is a deficient number, since it is larger than the sum of its proper divisors (3388241407).

10162829217 is a wasteful number, since it uses less digits than its factorization.

10162829217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157919.

The product of its (nonzero) digits is 24192, while the sum is 39.

The spelling of 10162829217 in words is "ten billion, one hundred sixty-two million, eight hundred twenty-nine thousand, two hundred seventeen".