10271417104 has 45 divisors (see below), whose sum is σ = 21560525823. Its totient is φ = 4738221696.

The previous prime is 10271417071. The next prime is 10271417131. The reversal of 10271417104 is 40171417201.

The square root of 10271417104 is 101348.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 39690000 + 10231727104 = 6300^2 + 101152^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 5269122 + ... + 5271070.

Almost surely, 2^10271417104 is an apocalyptic number.

10271417104 is the 101348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10271417104

10271417104 is an abundant number, since it is smaller than the sum of its proper divisors (11289108719).

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

10271417104 is an frugal number, since it uses more digits than its factorization.

10271417104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932 (or 1964 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 28.

The spelling of 10271417104 in words is "ten billion, two hundred seventy-one million, four hundred seventeen thousand, one hundred four".