10066102272 has 108 divisors (see below), whose sum is σ = 29112145335. Its totient is φ = 3350827008.

The previous prime is 10066102259. The next prime is 10066102307. The reversal of 10066102272 is 27220166001.

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 only one way, i.e., 5033051136 + 5033051136 = 70944^2 + 70944^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=70944.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13620879 + ... + 13621617.

Almost surely, 2^10066102272 is an apocalyptic number.

10066102272 is a gapful number since it is divisible by the number (12) 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 10066102272

10066102272 is an abundant number, since it is smaller than the sum of its proper divisors (19046043063).

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

10066102272 is an frugal number, since it uses more digits than its factorization.

10066102272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

Adding to 10066102272 its reverse (27220166001), we get a palindrome (37286268273).

The spelling of 10066102272 in words is "ten billion, sixty-six million, one hundred two thousand, two hundred seventy-two".