10088024107225 has 27 divisors (see below), whose sum is σ = 12546380058687. Its totient is φ = 8046471001680.

The previous prime is 10088024107223. The next prime is 10088024107309. The reversal of 10088024107225 is 52270142088001.

The square root of 10088024107225 is 3176165.

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

It can be written as a sum of positive squares in only one way, i.e., 3631688678601 + 6456335428624 = 1905699^2 + 2540932^2 .

It is not a de Polignac number, because 10088024107225 - 2¹ = 10088024107223 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10088024107223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6971681452 + ... + 6971682898.

Almost surely, 2^{10088024107225} is an apocalyptic number.

10088024107225 is the 3176165-th square number.

10088024107225 is the 1588083-rd centered octagonal number.

It is an amenable number.

10088024107225 is a deficient number, since it is larger than the sum of its proper divisors (2458355951462).

10088024107225 is an frugal number, since it uses more digits than its factorization.

10088024107225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3782 (or 1891 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 40.

It can be divided in two parts, 10088024 and 107225, that added together give a square (10195249 = 3193²).

The spelling of 10088024107225 in words is "ten trillion, eighty-eight billion, twenty-four million, one hundred seven thousand, two hundred twenty-five".