100066531062276 has 243 divisors, whose sum is σ = 261642462324789. Its totient is φ = 32246561640384.

The previous prime is 100066531062247. The next prime is 100066531062313. The reversal of 100066531062276 is 672260135660001.

The square root of 100066531062276 is 10003326.

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

100066531062276 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 6 + 6 + 5 + 3 + 10 + 622 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 72137673692100 + 27928857370176 = 8493390^2 + 5284776^2 .

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 80 ways as a sum of consecutive naturals, for example, 264027786255 + ... + 264027786633.

Almost surely, 2^{100066531062276} is an apocalyptic number.

100066531062276 is the 10003326-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100066531062276

100066531062276 is an abundant number, since it is smaller than the sum of its proper divisors (161575931262513).

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

100066531062276 is an frugal number, since it uses more digits than its factorization.

100066531062276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

It can be divided in two parts, 10006653 and 1062276, that added together give a square (11068929 = 3327²).

The spelling of 100066531062276 in words is "one hundred trillion, sixty-six billion, five hundred thirty-one million, sixty-two thousand, two hundred seventy-six".