10082284002 has 210 divisors, whose sum is σ = 27552832923. Its totient is φ = 2755406808.

The previous prime is 10082283973. The next prime is 10082284033. The reversal of 10082284002 is 20048228001.

It can be written as a sum of positive squares in only one way, i.e., 5041142001 + 5041142001 = 71001^2 + 71001^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=71001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 104 ways as a sum of consecutive naturals, for example, 438360163 + ... + 438360185.

Almost surely, 2^10082284002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10082284002

10082284002 is an abundant number, since it is smaller than the sum of its proper divisors (17470548921).

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

10082284002 is an frugal number, since it uses more digits than its factorization.

10082284002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

Multiplying 10082284002 by its product of nonzero digits (2048), we get a square (20648517636096 = 4544064²).

The spelling of 10082284002 in words is "ten billion, eighty-two million, two hundred eighty-four thousand, two".