10005200676 has 45 divisors (see below), whose sum is σ = 26160278529. Its totient is φ = 3334466736.

The previous prime is 10005200659. The next prime is 10005200683. The reversal of 10005200676 is 67600250001.

The square root of 10005200676 is 100026.

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

10005200676 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9430352100 + 574848576 = 97110^2 + 23976^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1797690 + ... + 1803246.

Almost surely, 2^10005200676 is an apocalyptic number.

10005200676 is the 100026-th square number.

It is an amenable number.

10005200676 is an abundant number, since it is smaller than the sum of its proper divisors (16155077853).

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

10005200676 is an frugal number, since it uses more digits than its factorization.

10005200676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11130 (or 5562 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

Adding to 10005200676 its reverse (67600250001), we get a palindrome (77605450677).

It can be divided in two parts, 10005 and 200676, that added together give a square (210681 = 459²).

The spelling of 10005200676 in words is "ten billion, five million, two hundred thousand, six hundred seventy-six".