10225072008 has 108 divisors (see below), whose sum is σ = 29459746095. Its totient is φ = 3203289600.

The previous prime is 10225072007. The next prime is 10225072021. The reversal of 10225072008 is 80027052201.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 10152174564 + 72897444 = 100758^2 + 8538^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=71502.

It is not an unprimeable number, because it can be changed into a prime (10225072007) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 14586058 + ... + 14586758.

Almost surely, 2^10225072008 is an apocalyptic number.

10225072008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10225072008

10225072008 is an abundant number, since it is smaller than the sum of its proper divisors (19234674087).

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

10225072008 is an equidigital number, since it uses as much as digits as its factorization.

10225072008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 10225072008 in words is "ten billion, two hundred twenty-five million, seventy-two thousand, eight".